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Finding the Fourth Proportional to 10,332.54, 14,259.62 and 5,856.32

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Solution

The fourth proportional to 10,332.54, 14,259.62 and 5,856.32 is: 8,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.54 : 14,259.62 = 5,856.32 : x
  2. Step 2: Convert to fraction form
    10,332.54/14,259.62 = 5,856.32/x
  3. Step 3: Cross multiply
    10,332.54x = 14,259.62 × 5,856.32
  4. Step 4: Simplify right side
    10,332.54x = 83,508,948.09
  5. Step 5: Solve for x
    x = 83,508,948.09/10,332.54
  6. Step 6: Final answer
    x = 8,082.13

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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.