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Finding the Fourth Proportional to 11,371.83, 15,693.15 and 6,592.70

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Solution

The fourth proportional to 11,371.83, 15,693.15 and 6,592.70 is: 9,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371.83 : 15,693.15 = 6,592.70 : x
  2. Step 2: Convert to fraction form
    11,371.83/15,693.15 = 6,592.70/x
  3. Step 3: Cross multiply
    11,371.83x = 15,693.15 × 6,592.70
  4. Step 4: Simplify right side
    11,371.83x = 103,460,151.54
  5. Step 5: Solve for x
    x = 103,460,151.54/11,371.83
  6. Step 6: Final answer
    x = 9,097.93

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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.