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Finding the Fourth Proportional to 10,410.32, 15,578.40 and 8,343.60

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Solution

The fourth proportional to 10,410.32, 15,578.40 and 8,343.60 is: 12,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.32 : 15,578.40 = 8,343.60 : x
  2. Step 2: Convert to fraction form
    10,410.32/15,578.40 = 8,343.60/x
  3. Step 3: Cross multiply
    10,410.32x = 15,578.40 × 8,343.60
  4. Step 4: Simplify right side
    10,410.32x = 129,979,938.24
  5. Step 5: Solve for x
    x = 129,979,938.24/10,410.32
  6. Step 6: Final answer
    x = 12,485.68

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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.