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Finding the Fourth Proportional to 8,154.61, 11,254.34 and 4,617.14

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Solution

The fourth proportional to 8,154.61, 11,254.34 and 4,617.14 is: 6,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.61 : 11,254.34 = 4,617.14 : x
  2. Step 2: Convert to fraction form
    8,154.61/11,254.34 = 4,617.14/x
  3. Step 3: Cross multiply
    8,154.61x = 11,254.34 × 4,617.14
  4. Step 4: Simplify right side
    8,154.61x = 51,962,818.66
  5. Step 5: Solve for x
    x = 51,962,818.66/8,154.61
  6. Step 6: Final answer
    x = 6,372.20

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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.