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Finding the Fourth Proportional to 7,547.54, 11,317.20 and 2,616.80

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Solution

The fourth proportional to 7,547.54, 11,317.20 and 2,616.80 is: 3,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.54 : 11,317.20 = 2,616.80 : x
  2. Step 2: Convert to fraction form
    7,547.54/11,317.20 = 2,616.80/x
  3. Step 3: Cross multiply
    7,547.54x = 11,317.20 × 2,616.80
  4. Step 4: Simplify right side
    7,547.54x = 29,614,848.96
  5. Step 5: Solve for x
    x = 29,614,848.96/7,547.54
  6. Step 6: Final answer
    x = 3,923.78

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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.