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Finding the Fourth Proportional to 10,490.40, 15,735.60 and 6,343.20

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Solution

The fourth proportional to 10,490.40, 15,735.60 and 6,343.20 is: 9,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.40 : 15,735.60 = 6,343.20 : x
  2. Step 2: Convert to fraction form
    10,490.40/15,735.60 = 6,343.20/x
  3. Step 3: Cross multiply
    10,490.40x = 15,735.60 × 6,343.20
  4. Step 4: Simplify right side
    10,490.40x = 99,814,057.92
  5. Step 5: Solve for x
    x = 99,814,057.92/10,490.40
  6. Step 6: Final answer
    x = 9,514.80

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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.