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Finding the Fourth Proportional to 7,098.71, 10,655.17 and 2,941.16

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Solution

The fourth proportional to 7,098.71, 10,655.17 and 2,941.16 is: 4,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.71 : 10,655.17 = 2,941.16 : x
  2. Step 2: Convert to fraction form
    7,098.71/10,655.17 = 2,941.16/x
  3. Step 3: Cross multiply
    7,098.71x = 10,655.17 × 2,941.16
  4. Step 4: Simplify right side
    7,098.71x = 31,338,499.17
  5. Step 5: Solve for x
    x = 31,338,499.17/7,098.71
  6. Step 6: Final answer
    x = 4,414.68

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Why These Related Problems?

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