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Finding the Fourth Proportional to 7,293.50, 10,941.87 and 2,098.97

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Solution

The fourth proportional to 7,293.50, 10,941.87 and 2,098.97 is: 3,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.50 : 10,941.87 = 2,098.97 : x
  2. Step 2: Convert to fraction form
    7,293.50/10,941.87 = 2,098.97/x
  3. Step 3: Cross multiply
    7,293.50x = 10,941.87 × 2,098.97
  4. Step 4: Simplify right side
    7,293.50x = 22,966,602.16
  5. Step 5: Solve for x
    x = 22,966,602.16/7,293.50
  6. Step 6: Final answer
    x = 3,148.92

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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.