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Finding the Fourth Proportional to 10,913.20, 15,062.04 and 6,438.06

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Solution

The fourth proportional to 10,913.20, 15,062.04 and 6,438.06 is: 8,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.20 : 15,062.04 = 6,438.06 : x
  2. Step 2: Convert to fraction form
    10,913.20/15,062.04 = 6,438.06/x
  3. Step 3: Cross multiply
    10,913.20x = 15,062.04 × 6,438.06
  4. Step 4: Simplify right side
    10,913.20x = 96,970,317.24
  5. Step 5: Solve for x
    x = 96,970,317.24/10,913.20
  6. Step 6: Final answer
    x = 8,885.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.