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Finding the Fourth Proportional to 8,342.34, 12,510.42 and 2,496.96

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Solution

The fourth proportional to 8,342.34, 12,510.42 and 2,496.96 is: 3,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.34 : 12,510.42 = 2,496.96 : x
  2. Step 2: Convert to fraction form
    8,342.34/12,510.42 = 2,496.96/x
  3. Step 3: Cross multiply
    8,342.34x = 12,510.42 × 2,496.96
  4. Step 4: Simplify right side
    8,342.34x = 31,238,018.32
  5. Step 5: Solve for x
    x = 31,238,018.32/8,342.34
  6. Step 6: Final answer
    x = 3,744.52

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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.