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Finding the Fourth Proportional to 11,648.61, 17,462.42 and 4,247.88

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Solution

The fourth proportional to 11,648.61, 17,462.42 and 4,247.88 is: 6,367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.61 : 17,462.42 = 4,247.88 : x
  2. Step 2: Convert to fraction form
    11,648.61/17,462.42 = 4,247.88/x
  3. Step 3: Cross multiply
    11,648.61x = 17,462.42 × 4,247.88
  4. Step 4: Simplify right side
    11,648.61x = 74,178,275.29
  5. Step 5: Solve for x
    x = 74,178,275.29/11,648.61
  6. Step 6: Final answer
    x = 6,367.99

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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.