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Finding the Fourth Proportional to 10,371.63, 14,313.20 and 5,656.17

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Solution

The fourth proportional to 10,371.63, 14,313.20 and 5,656.17 is: 7,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.63 : 14,313.20 = 5,656.17 : x
  2. Step 2: Convert to fraction form
    10,371.63/14,313.20 = 5,656.17/x
  3. Step 3: Cross multiply
    10,371.63x = 14,313.20 × 5,656.17
  4. Step 4: Simplify right side
    10,371.63x = 80,957,864.16
  5. Step 5: Solve for x
    x = 80,957,864.16/10,371.63
  6. Step 6: Final answer
    x = 7,805.70

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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.