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Finding the Fourth Proportional to 11,458.71, 15,812.15 and 6,422.81

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Solution

The fourth proportional to 11,458.71, 15,812.15 and 6,422.81 is: 8,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.71 : 15,812.15 = 6,422.81 : x
  2. Step 2: Convert to fraction form
    11,458.71/15,812.15 = 6,422.81/x
  3. Step 3: Cross multiply
    11,458.71x = 15,812.15 × 6,422.81
  4. Step 4: Simplify right side
    11,458.71x = 101,558,323.97
  5. Step 5: Solve for x
    x = 101,558,323.97/11,458.71
  6. Step 6: Final answer
    x = 8,862.98

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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.