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Finding the Fourth Proportional to 10,589.63, 15,874.63 and 4,011.42

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Solution

The fourth proportional to 10,589.63, 15,874.63 and 4,011.42 is: 6,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.63 : 15,874.63 = 4,011.42 : x
  2. Step 2: Convert to fraction form
    10,589.63/15,874.63 = 4,011.42/x
  3. Step 3: Cross multiply
    10,589.63x = 15,874.63 × 4,011.42
  4. Step 4: Simplify right side
    10,589.63x = 63,679,788.22
  5. Step 5: Solve for x
    x = 63,679,788.22/10,589.63
  6. Step 6: Final answer
    x = 6,013.41

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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.