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Finding the Fourth Proportional to 8,342.19, 12,527.58 and 7,407.24

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Solution

The fourth proportional to 8,342.19, 12,527.58 and 7,407.24 is: 11,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.19 : 12,527.58 = 7,407.24 : x
  2. Step 2: Convert to fraction form
    8,342.19/12,527.58 = 7,407.24/x
  3. Step 3: Cross multiply
    8,342.19x = 12,527.58 × 7,407.24
  4. Step 4: Simplify right side
    8,342.19x = 92,794,791.68
  5. Step 5: Solve for x
    x = 92,794,791.68/8,342.19
  6. Step 6: Final answer
    x = 11,123.55

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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.