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Finding the Fourth Proportional to 7,186.55, 9,916.90 and 4,042.13

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Solution

The fourth proportional to 7,186.55, 9,916.90 and 4,042.13 is: 5,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.55 : 9,916.90 = 4,042.13 : x
  2. Step 2: Convert to fraction form
    7,186.55/9,916.90 = 4,042.13/x
  3. Step 3: Cross multiply
    7,186.55x = 9,916.90 × 4,042.13
  4. Step 4: Simplify right side
    7,186.55x = 40,085,339.31
  5. Step 5: Solve for x
    x = 40,085,339.31/7,186.55
  6. Step 6: Final answer
    x = 5,577.83

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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.