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Finding the Fourth Proportional to 8,274.93, 12,416.52 and 5,154.15

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Solution

The fourth proportional to 8,274.93, 12,416.52 and 5,154.15 is: 7,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.93 : 12,416.52 = 5,154.15 : x
  2. Step 2: Convert to fraction form
    8,274.93/12,416.52 = 5,154.15/x
  3. Step 3: Cross multiply
    8,274.93x = 12,416.52 × 5,154.15
  4. Step 4: Simplify right side
    8,274.93x = 63,996,606.56
  5. Step 5: Solve for x
    x = 63,996,606.56/8,274.93
  6. Step 6: Final answer
    x = 7,733.79

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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.