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Finding the Fourth Proportional to 10,311.60, 15,467.40 and 6,985.20

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Solution

The fourth proportional to 10,311.60, 15,467.40 and 6,985.20 is: 10,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.60 : 15,467.40 = 6,985.20 : x
  2. Step 2: Convert to fraction form
    10,311.60/15,467.40 = 6,985.20/x
  3. Step 3: Cross multiply
    10,311.60x = 15,467.40 × 6,985.20
  4. Step 4: Simplify right side
    10,311.60x = 108,042,882.48
  5. Step 5: Solve for x
    x = 108,042,882.48/10,311.60
  6. Step 6: Final answer
    x = 10,477.80

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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.