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Finding the Fourth Proportional to 8,242.24, 12,352.56 and 7,142.08

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Solution

The fourth proportional to 8,242.24, 12,352.56 and 7,142.08 is: 10,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.24 : 12,352.56 = 7,142.08 : x
  2. Step 2: Convert to fraction form
    8,242.24/12,352.56 = 7,142.08/x
  3. Step 3: Cross multiply
    8,242.24x = 12,352.56 × 7,142.08
  4. Step 4: Simplify right side
    8,242.24x = 88,222,971.72
  5. Step 5: Solve for x
    x = 88,222,971.72/8,242.24
  6. Step 6: Final answer
    x = 10,703.76

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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.