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Finding the Fourth Proportional to 10,765.92, 14,854.32 and 6,572.64

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Solution

The fourth proportional to 10,765.92, 14,854.32 and 6,572.64 is: 9,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.92 : 14,854.32 = 6,572.64 : x
  2. Step 2: Convert to fraction form
    10,765.92/14,854.32 = 6,572.64/x
  3. Step 3: Cross multiply
    10,765.92x = 14,854.32 × 6,572.64
  4. Step 4: Simplify right side
    10,765.92x = 97,632,097.80
  5. Step 5: Solve for x
    x = 97,632,097.80/10,765.92
  6. Step 6: Final answer
    x = 9,068.63

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