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Finding the Fourth Proportional to 7,547.38, 11,321.57 and 2,616.50

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Solution

The fourth proportional to 7,547.38, 11,321.57 and 2,616.50 is: 3,924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.38 : 11,321.57 = 2,616.50 : x
  2. Step 2: Convert to fraction form
    7,547.38/11,321.57 = 2,616.50/x
  3. Step 3: Cross multiply
    7,547.38x = 11,321.57 × 2,616.50
  4. Step 4: Simplify right side
    7,547.38x = 29,622,922.75
  5. Step 5: Solve for x
    x = 29,622,922.75/7,547.38
  6. Step 6: Final answer
    x = 3,924.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.