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Finding the Fourth Proportional to 8,342.82, 12,510.03 and 3,074.13

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Solution

The fourth proportional to 8,342.82, 12,510.03 and 3,074.13 is: 4,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.82 : 12,510.03 = 3,074.13 : x
  2. Step 2: Convert to fraction form
    8,342.82/12,510.03 = 3,074.13/x
  3. Step 3: Cross multiply
    8,342.82x = 12,510.03 × 3,074.13
  4. Step 4: Simplify right side
    8,342.82x = 38,457,458.52
  5. Step 5: Solve for x
    x = 38,457,458.52/8,342.82
  6. Step 6: Final answer
    x = 4,609.65

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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.