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Finding the Fourth Proportional to 8,506.57, 11,739.01 and 4,729.67

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Solution

The fourth proportional to 8,506.57, 11,739.01 and 4,729.67 is: 6,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.57 : 11,739.01 = 4,729.67 : x
  2. Step 2: Convert to fraction form
    8,506.57/11,739.01 = 4,729.67/x
  3. Step 3: Cross multiply
    8,506.57x = 11,739.01 × 4,729.67
  4. Step 4: Simplify right side
    8,506.57x = 55,521,643.43
  5. Step 5: Solve for x
    x = 55,521,643.43/8,506.57
  6. Step 6: Final answer
    x = 6,526.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.