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Finding the Fourth Proportional to 10,226.85, 15,347.88 and 7,600.47

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Solution

The fourth proportional to 10,226.85, 15,347.88 and 7,600.47 is: 11,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.85 : 15,347.88 = 7,600.47 : x
  2. Step 2: Convert to fraction form
    10,226.85/15,347.88 = 7,600.47/x
  3. Step 3: Cross multiply
    10,226.85x = 15,347.88 × 7,600.47
  4. Step 4: Simplify right side
    10,226.85x = 116,651,101.50
  5. Step 5: Solve for x
    x = 116,651,101.50/10,226.85
  6. Step 6: Final answer
    x = 11,406.36

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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.