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Finding the Fourth Proportional to 10,388.52, 15,582.78 and 5,193.18

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Solution

The fourth proportional to 10,388.52, 15,582.78 and 5,193.18 is: 7,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.52 : 15,582.78 = 5,193.18 : x
  2. Step 2: Convert to fraction form
    10,388.52/15,582.78 = 5,193.18/x
  3. Step 3: Cross multiply
    10,388.52x = 15,582.78 × 5,193.18
  4. Step 4: Simplify right side
    10,388.52x = 80,924,181.44
  5. Step 5: Solve for x
    x = 80,924,181.44/10,388.52
  6. Step 6: Final answer
    x = 7,789.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.