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Finding the Fourth Proportional to 11,419.71, 15,759.29 and 6,384.14

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Solution

The fourth proportional to 11,419.71, 15,759.29 and 6,384.14 is: 8,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.71 : 15,759.29 = 6,384.14 : x
  2. Step 2: Convert to fraction form
    11,419.71/15,759.29 = 6,384.14/x
  3. Step 3: Cross multiply
    11,419.71x = 15,759.29 × 6,384.14
  4. Step 4: Simplify right side
    11,419.71x = 100,609,513.66
  5. Step 5: Solve for x
    x = 100,609,513.66/11,419.71
  6. Step 6: Final answer
    x = 8,810.16

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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.