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Finding the Fourth Proportional to 10,272.80, 15,425.40 and 5,898.80

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Solution

The fourth proportional to 10,272.80, 15,425.40 and 5,898.80 is: 8,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.80 : 15,425.40 = 5,898.80 : x
  2. Step 2: Convert to fraction form
    10,272.80/15,425.40 = 5,898.80/x
  3. Step 3: Cross multiply
    10,272.80x = 15,425.40 × 5,898.80
  4. Step 4: Simplify right side
    10,272.80x = 90,991,349.52
  5. Step 5: Solve for x
    x = 90,991,349.52/10,272.80
  6. Step 6: Final answer
    x = 8,857.50

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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.