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Finding the Fourth Proportional to 8,232.66, 12,350.79 and 2,389.77

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Solution

The fourth proportional to 8,232.66, 12,350.79 and 2,389.77 is: 3,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.66 : 12,350.79 = 2,389.77 : x
  2. Step 2: Convert to fraction form
    8,232.66/12,350.79 = 2,389.77/x
  3. Step 3: Cross multiply
    8,232.66x = 12,350.79 × 2,389.77
  4. Step 4: Simplify right side
    8,232.66x = 29,515,547.42
  5. Step 5: Solve for x
    x = 29,515,547.42/8,232.66
  6. Step 6: Final answer
    x = 3,585.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.