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Finding the Fourth Proportional to 7,432.81, 11,149.17 and 1,810.42

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Solution

The fourth proportional to 7,432.81, 11,149.17 and 1,810.42 is: 2,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.81 : 11,149.17 = 1,810.42 : x
  2. Step 2: Convert to fraction form
    7,432.81/11,149.17 = 1,810.42/x
  3. Step 3: Cross multiply
    7,432.81x = 11,149.17 × 1,810.42
  4. Step 4: Simplify right side
    7,432.81x = 20,184,644.75
  5. Step 5: Solve for x
    x = 20,184,644.75/7,432.81
  6. Step 6: Final answer
    x = 2,715.61

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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.