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Finding the Fourth Proportional to 10,332.85, 14,260.02 and 5,856.58

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Solution

The fourth proportional to 10,332.85, 14,260.02 and 5,856.58 is: 8,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.85 : 14,260.02 = 5,856.58 : x
  2. Step 2: Convert to fraction form
    10,332.85/14,260.02 = 5,856.58/x
  3. Step 3: Cross multiply
    10,332.85x = 14,260.02 × 5,856.58
  4. Step 4: Simplify right side
    10,332.85x = 83,514,947.93
  5. Step 5: Solve for x
    x = 83,514,947.93/10,332.85
  6. Step 6: Final answer
    x = 8,082.47

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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.