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Finding the Fourth Proportional to 8,585, 12,879.66 and 2,429

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Solution

The fourth proportional to 8,585, 12,879.66 and 2,429 is: 3,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585 : 12,879.66 = 2,429 : x
  2. Step 2: Convert to fraction form
    8,585/12,879.66 = 2,429/x
  3. Step 3: Cross multiply
    8,585x = 12,879.66 × 2,429
  4. Step 4: Simplify right side
    8,585x = 31,284,694.14
  5. Step 5: Solve for x
    x = 31,284,694.14/8,585
  6. Step 6: Final answer
    x = 3,644.11

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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.