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Finding the Fourth Proportional to 8,689.14, 13,024.53 and 2,844.18

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Solution

The fourth proportional to 8,689.14, 13,024.53 and 2,844.18 is: 4,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.14 : 13,024.53 = 2,844.18 : x
  2. Step 2: Convert to fraction form
    8,689.14/13,024.53 = 2,844.18/x
  3. Step 3: Cross multiply
    8,689.14x = 13,024.53 × 2,844.18
  4. Step 4: Simplify right side
    8,689.14x = 37,044,107.74
  5. Step 5: Solve for x
    x = 37,044,107.74/8,689.14
  6. Step 6: Final answer
    x = 4,263.27

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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.