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Finding the Fourth Proportional to 10,229.63, 14,124.84 and 7,987.62

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Solution

The fourth proportional to 10,229.63, 14,124.84 and 7,987.62 is: 11,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.63 : 14,124.84 = 7,987.62 : x
  2. Step 2: Convert to fraction form
    10,229.63/14,124.84 = 7,987.62/x
  3. Step 3: Cross multiply
    10,229.63x = 14,124.84 × 7,987.62
  4. Step 4: Simplify right side
    10,229.63x = 112,823,824.53
  5. Step 5: Solve for x
    x = 112,823,824.53/10,229.63
  6. Step 6: Final answer
    x = 11,029.12

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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.