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Finding the Fourth Proportional to 7,708.55, 11,562.83 and 7,106.67

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Solution

The fourth proportional to 7,708.55, 11,562.83 and 7,106.67 is: 10,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.55 : 11,562.83 = 7,106.67 : x
  2. Step 2: Convert to fraction form
    7,708.55/11,562.83 = 7,106.67/x
  3. Step 3: Cross multiply
    7,708.55x = 11,562.83 × 7,106.67
  4. Step 4: Simplify right side
    7,708.55x = 82,173,181.54
  5. Step 5: Solve for x
    x = 82,173,181.54/7,708.55
  6. Step 6: Final answer
    x = 10,660.01

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.