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Finding the Fourth Proportional to 7,691.16, 11,538.54 and 2,497.02

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Solution

The fourth proportional to 7,691.16, 11,538.54 and 2,497.02 is: 3,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.16 : 11,538.54 = 2,497.02 : x
  2. Step 2: Convert to fraction form
    7,691.16/11,538.54 = 2,497.02/x
  3. Step 3: Cross multiply
    7,691.16x = 11,538.54 × 2,497.02
  4. Step 4: Simplify right side
    7,691.16x = 28,811,965.15
  5. Step 5: Solve for x
    x = 28,811,965.15/7,691.16
  6. Step 6: Final answer
    x = 3,746.11

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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.