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Finding the Fourth Proportional to 10,929.68, 15,083.48 and 6,149.68

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Solution

The fourth proportional to 10,929.68, 15,083.48 and 6,149.68 is: 8,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.68 : 15,083.48 = 6,149.68 : x
  2. Step 2: Convert to fraction form
    10,929.68/15,083.48 = 6,149.68/x
  3. Step 3: Cross multiply
    10,929.68x = 15,083.48 × 6,149.68
  4. Step 4: Simplify right side
    10,929.68x = 92,758,575.29
  5. Step 5: Solve for x
    x = 92,758,575.29/10,929.68
  6. Step 6: Final answer
    x = 8,486.85

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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.