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Finding the Fourth Proportional to 10,355.20, 15,537.60 and 5,430.40

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Solution

The fourth proportional to 10,355.20, 15,537.60 and 5,430.40 is: 8,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.20 : 15,537.60 = 5,430.40 : x
  2. Step 2: Convert to fraction form
    10,355.20/15,537.60 = 5,430.40/x
  3. Step 3: Cross multiply
    10,355.20x = 15,537.60 × 5,430.40
  4. Step 4: Simplify right side
    10,355.20x = 84,375,383.04
  5. Step 5: Solve for x
    x = 84,375,383.04/10,355.20
  6. Step 6: Final answer
    x = 8,148.12

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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.