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Finding the Fourth Proportional to 10,865.59, 14,994.74 and 6,149.87

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Solution

The fourth proportional to 10,865.59, 14,994.74 and 6,149.87 is: 8,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.59 : 14,994.74 = 6,149.87 : x
  2. Step 2: Convert to fraction form
    10,865.59/14,994.74 = 6,149.87/x
  3. Step 3: Cross multiply
    10,865.59x = 14,994.74 × 6,149.87
  4. Step 4: Simplify right side
    10,865.59x = 92,215,701.68
  5. Step 5: Solve for x
    x = 92,215,701.68/10,865.59
  6. Step 6: Final answer
    x = 8,486.95

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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.