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Finding the Fourth Proportional to 7,432.81, 11,149.25 and 1,886.16

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Solution

The fourth proportional to 7,432.81, 11,149.25 and 1,886.16 is: 2,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.81 : 11,149.25 = 1,886.16 : x
  2. Step 2: Convert to fraction form
    7,432.81/11,149.25 = 1,886.16/x
  3. Step 3: Cross multiply
    7,432.81x = 11,149.25 × 1,886.16
  4. Step 4: Simplify right side
    7,432.81x = 21,029,269.38
  5. Step 5: Solve for x
    x = 21,029,269.38/7,432.81
  6. Step 6: Final answer
    x = 2,829.25

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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.