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Finding the Fourth Proportional to 10,590.40, 15,885.42 and 4,016.44

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Solution

The fourth proportional to 10,590.40, 15,885.42 and 4,016.44 is: 6,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.40 : 15,885.42 = 4,016.44 : x
  2. Step 2: Convert to fraction form
    10,590.40/15,885.42 = 4,016.44/x
  3. Step 3: Cross multiply
    10,590.40x = 15,885.42 × 4,016.44
  4. Step 4: Simplify right side
    10,590.40x = 63,802,836.30
  5. Step 5: Solve for x
    x = 63,802,836.30/10,590.40
  6. Step 6: Final answer
    x = 6,024.59

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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.