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Finding the Fourth Proportional to 11,516.40, 15,872.13 and 9,918.90

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Solution

The fourth proportional to 11,516.40, 15,872.13 and 9,918.90 is: 13,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.40 : 15,872.13 = 9,918.90 : x
  2. Step 2: Convert to fraction form
    11,516.40/15,872.13 = 9,918.90/x
  3. Step 3: Cross multiply
    11,516.40x = 15,872.13 × 9,918.90
  4. Step 4: Simplify right side
    11,516.40x = 157,434,070.26
  5. Step 5: Solve for x
    x = 157,434,070.26/11,516.40
  6. Step 6: Final answer
    x = 13,670.42

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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.