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Finding the Fourth Proportional to 10,766.93, 14,878.89 and 8,109.72

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Solution

The fourth proportional to 10,766.93, 14,878.89 and 8,109.72 is: 11,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.93 : 14,878.89 = 8,109.72 : x
  2. Step 2: Convert to fraction form
    10,766.93/14,878.89 = 8,109.72/x
  3. Step 3: Cross multiply
    10,766.93x = 14,878.89 × 8,109.72
  4. Step 4: Simplify right side
    10,766.93x = 120,663,631.81
  5. Step 5: Solve for x
    x = 120,663,631.81/10,766.93
  6. Step 6: Final answer
    x = 11,206.88

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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.