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Finding the Fourth Proportional to 7,117.50, 10,681.11 and 2,500.50

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Solution

The fourth proportional to 7,117.50, 10,681.11 and 2,500.50 is: 3,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.50 : 10,681.11 = 2,500.50 : x
  2. Step 2: Convert to fraction form
    7,117.50/10,681.11 = 2,500.50/x
  3. Step 3: Cross multiply
    7,117.50x = 10,681.11 × 2,500.50
  4. Step 4: Simplify right side
    7,117.50x = 26,708,115.56
  5. Step 5: Solve for x
    x = 26,708,115.56/7,117.50
  6. Step 6: Final answer
    x = 3,752.46

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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.