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Finding the Fourth Proportional to 10,366.71, 14,305.95 and 5,650.89

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Solution

The fourth proportional to 10,366.71, 14,305.95 and 5,650.89 is: 7,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.71 : 14,305.95 = 5,650.89 : x
  2. Step 2: Convert to fraction form
    10,366.71/14,305.95 = 5,650.89/x
  3. Step 3: Cross multiply
    10,366.71x = 14,305.95 × 5,650.89
  4. Step 4: Simplify right side
    10,366.71x = 80,841,349.80
  5. Step 5: Solve for x
    x = 80,841,349.80/10,366.71
  6. Step 6: Final answer
    x = 7,798.17

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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.