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Finding the Fourth Proportional to 7,337.38, 11,007.16 and 2,657.74

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Solution

The fourth proportional to 7,337.38, 11,007.16 and 2,657.74 is: 3,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,337.38 : 11,007.16 = 2,657.74 : x
  2. Step 2: Convert to fraction form
    7,337.38/11,007.16 = 2,657.74/x
  3. Step 3: Cross multiply
    7,337.38x = 11,007.16 × 2,657.74
  4. Step 4: Simplify right side
    7,337.38x = 29,254,169.42
  5. Step 5: Solve for x
    x = 29,254,169.42/7,337.38
  6. Step 6: Final answer
    x = 3,987.00

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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.