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Finding the Fourth Proportional to 7,546.32, 11,310 and 5,355.60

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Solution

The fourth proportional to 7,546.32, 11,310 and 5,355.60 is: 8,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.32 : 11,310 = 5,355.60 : x
  2. Step 2: Convert to fraction form
    7,546.32/11,310 = 5,355.60/x
  3. Step 3: Cross multiply
    7,546.32x = 11,310 × 5,355.60
  4. Step 4: Simplify right side
    7,546.32x = 60,571,836.00
  5. Step 5: Solve for x
    x = 60,571,836.00/7,546.32
  6. Step 6: Final answer
    x = 8,026.67

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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.