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Finding the Fourth Proportional to 10,582.80, 15,796.02 and 9,926.16

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Solution

The fourth proportional to 10,582.80, 15,796.02 and 9,926.16 is: 14,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.80 : 15,796.02 = 9,926.16 : x
  2. Step 2: Convert to fraction form
    10,582.80/15,796.02 = 9,926.16/x
  3. Step 3: Cross multiply
    10,582.80x = 15,796.02 × 9,926.16
  4. Step 4: Simplify right side
    10,582.80x = 156,793,821.88
  5. Step 5: Solve for x
    x = 156,793,821.88/10,582.80
  6. Step 6: Final answer
    x = 14,815.91

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