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Finding the Fourth Proportional to 8,314.93, 12,472.58 and 2,074.87

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Solution

The fourth proportional to 8,314.93, 12,472.58 and 2,074.87 is: 3,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.93 : 12,472.58 = 2,074.87 : x
  2. Step 2: Convert to fraction form
    8,314.93/12,472.58 = 2,074.87/x
  3. Step 3: Cross multiply
    8,314.93x = 12,472.58 × 2,074.87
  4. Step 4: Simplify right side
    8,314.93x = 25,878,982.06
  5. Step 5: Solve for x
    x = 25,878,982.06/8,314.93
  6. Step 6: Final answer
    x = 3,112.35

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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.