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Finding the Fourth Proportional to 10,385.90, 15,542.40 and 7,105.40

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Solution

The fourth proportional to 10,385.90, 15,542.40 and 7,105.40 is: 10,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.90 : 15,542.40 = 7,105.40 : x
  2. Step 2: Convert to fraction form
    10,385.90/15,542.40 = 7,105.40/x
  3. Step 3: Cross multiply
    10,385.90x = 15,542.40 × 7,105.40
  4. Step 4: Simplify right side
    10,385.90x = 110,434,968.96
  5. Step 5: Solve for x
    x = 110,434,968.96/10,385.90
  6. Step 6: Final answer
    x = 10,633.16

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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.