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Finding the Fourth Proportional to 8,972.74, 12,376.62 and 5,790.10

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Solution

The fourth proportional to 8,972.74, 12,376.62 and 5,790.10 is: 7,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.74 : 12,376.62 = 5,790.10 : x
  2. Step 2: Convert to fraction form
    8,972.74/12,376.62 = 5,790.10/x
  3. Step 3: Cross multiply
    8,972.74x = 12,376.62 × 5,790.10
  4. Step 4: Simplify right side
    8,972.74x = 71,661,867.46
  5. Step 5: Solve for x
    x = 71,661,867.46/8,972.74
  6. Step 6: Final answer
    x = 7,986.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.