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Finding the Fourth Proportional to 11,521.85, 15,866.69 and 10,008.71

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Solution

The fourth proportional to 11,521.85, 15,866.69 and 10,008.71 is: 13,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.85 : 15,866.69 = 10,008.71 : x
  2. Step 2: Convert to fraction form
    11,521.85/15,866.69 = 10,008.71/x
  3. Step 3: Cross multiply
    11,521.85x = 15,866.69 × 10,008.71
  4. Step 4: Simplify right side
    11,521.85x = 158,805,118.24
  5. Step 5: Solve for x
    x = 158,805,118.24/11,521.85
  6. Step 6: Final answer
    x = 13,782.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.