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Finding the Fourth Proportional to 10,388.80, 15,582.20 and 4,147.16

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Solution

The fourth proportional to 10,388.80, 15,582.20 and 4,147.16 is: 6,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.80 : 15,582.20 = 4,147.16 : x
  2. Step 2: Convert to fraction form
    10,388.80/15,582.20 = 4,147.16/x
  3. Step 3: Cross multiply
    10,388.80x = 15,582.20 × 4,147.16
  4. Step 4: Simplify right side
    10,388.80x = 64,621,876.55
  5. Step 5: Solve for x
    x = 64,621,876.55/10,388.80
  6. Step 6: Final answer
    x = 6,220.34

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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.