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Finding the Fourth Proportional to 7,251.76, 10,877.05 and 2,869.26

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Solution

The fourth proportional to 7,251.76, 10,877.05 and 2,869.26 is: 4,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.76 : 10,877.05 = 2,869.26 : x
  2. Step 2: Convert to fraction form
    7,251.76/10,877.05 = 2,869.26/x
  3. Step 3: Cross multiply
    7,251.76x = 10,877.05 × 2,869.26
  4. Step 4: Simplify right side
    7,251.76x = 31,209,084.48
  5. Step 5: Solve for x
    x = 31,209,084.48/7,251.76
  6. Step 6: Final answer
    x = 4,303.66

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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.