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Finding the Fourth Proportional to 10,970.96, 15,139.89 and 5,935.17

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Solution

The fourth proportional to 10,970.96, 15,139.89 and 5,935.17 is: 8,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.96 : 15,139.89 = 5,935.17 : x
  2. Step 2: Convert to fraction form
    10,970.96/15,139.89 = 5,935.17/x
  3. Step 3: Cross multiply
    10,970.96x = 15,139.89 × 5,935.17
  4. Step 4: Simplify right side
    10,970.96x = 89,857,877.71
  5. Step 5: Solve for x
    x = 89,857,877.71/10,970.96
  6. Step 6: Final answer
    x = 8,190.52

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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.