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Finding the Fourth Proportional to 7,510.59, 11,267.78 and 3,127.14

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Solution

The fourth proportional to 7,510.59, 11,267.78 and 3,127.14 is: 4,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.59 : 11,267.78 = 3,127.14 : x
  2. Step 2: Convert to fraction form
    7,510.59/11,267.78 = 3,127.14/x
  3. Step 3: Cross multiply
    7,510.59x = 11,267.78 × 3,127.14
  4. Step 4: Simplify right side
    7,510.59x = 35,235,909.91
  5. Step 5: Solve for x
    x = 35,235,909.91/7,510.59
  6. Step 6: Final answer
    x = 4,691.50

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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.