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Finding the Fourth Proportional to 10,590.58, 15,869.49 and 4,013.20

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Solution

The fourth proportional to 10,590.58, 15,869.49 and 4,013.20 is: 6,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.58 : 15,869.49 = 4,013.20 : x
  2. Step 2: Convert to fraction form
    10,590.58/15,869.49 = 4,013.20/x
  3. Step 3: Cross multiply
    10,590.58x = 15,869.49 × 4,013.20
  4. Step 4: Simplify right side
    10,590.58x = 63,687,437.27
  5. Step 5: Solve for x
    x = 63,687,437.27/10,590.58
  6. Step 6: Final answer
    x = 6,013.59

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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.