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Finding the Fourth Proportional to 12,510.38, 18,766.74 and 4,612.58

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Solution

The fourth proportional to 12,510.38, 18,766.74 and 4,612.58 is: 6,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,510.38 : 18,766.74 = 4,612.58 : x
  2. Step 2: Convert to fraction form
    12,510.38/18,766.74 = 4,612.58/x
  3. Step 3: Cross multiply
    12,510.38x = 18,766.74 × 4,612.58
  4. Step 4: Simplify right side
    12,510.38x = 86,563,057.48
  5. Step 5: Solve for x
    x = 86,563,057.48/12,510.38
  6. Step 6: Final answer
    x = 6,919.30

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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.