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Finding the Fourth Proportional to 11,516.47, 17,275.16 and 4,938.15

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Solution

The fourth proportional to 11,516.47, 17,275.16 and 4,938.15 is: 7,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.47 : 17,275.16 = 4,938.15 : x
  2. Step 2: Convert to fraction form
    11,516.47/17,275.16 = 4,938.15/x
  3. Step 3: Cross multiply
    11,516.47x = 17,275.16 × 4,938.15
  4. Step 4: Simplify right side
    11,516.47x = 85,307,331.35
  5. Step 5: Solve for x
    x = 85,307,331.35/11,516.47
  6. Step 6: Final answer
    x = 7,407.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.