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Finding the Fourth Proportional to 10,452.60, 15,590.79 and 9,726.84

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Solution

The fourth proportional to 10,452.60, 15,590.79 and 9,726.84 is: 14,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.60 : 15,590.79 = 9,726.84 : x
  2. Step 2: Convert to fraction form
    10,452.60/15,590.79 = 9,726.84/x
  3. Step 3: Cross multiply
    10,452.60x = 15,590.79 × 9,726.84
  4. Step 4: Simplify right side
    10,452.60x = 151,649,119.80
  5. Step 5: Solve for x
    x = 151,649,119.80/10,452.60
  6. Step 6: Final answer
    x = 14,508.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.