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Finding the Fourth Proportional to 8,360.28, 12,589.28 and 6,184.36

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Solution

The fourth proportional to 8,360.28, 12,589.28 and 6,184.36 is: 9,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,360.28 : 12,589.28 = 6,184.36 : x
  2. Step 2: Convert to fraction form
    8,360.28/12,589.28 = 6,184.36/x
  3. Step 3: Cross multiply
    8,360.28x = 12,589.28 × 6,184.36
  4. Step 4: Simplify right side
    8,360.28x = 77,856,639.66
  5. Step 5: Solve for x
    x = 77,856,639.66/8,360.28
  6. Step 6: Final answer
    x = 9,312.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.