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Finding the Fourth Proportional to 10,582.56, 15,793.20 and 9,416.16

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Solution

The fourth proportional to 10,582.56, 15,793.20 and 9,416.16 is: 14,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.56 : 15,793.20 = 9,416.16 : x
  2. Step 2: Convert to fraction form
    10,582.56/15,793.20 = 9,416.16/x
  3. Step 3: Cross multiply
    10,582.56x = 15,793.20 × 9,416.16
  4. Step 4: Simplify right side
    10,582.56x = 148,711,298.11
  5. Step 5: Solve for x
    x = 148,711,298.11/10,582.56
  6. Step 6: Final answer
    x = 14,052.49

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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.