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Finding the Fourth Proportional to 10,780.92, 14,878.44 and 6,065.64

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Solution

The fourth proportional to 10,780.92, 14,878.44 and 6,065.64 is: 8,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.92 : 14,878.44 = 6,065.64 : x
  2. Step 2: Convert to fraction form
    10,780.92/14,878.44 = 6,065.64/x
  3. Step 3: Cross multiply
    10,780.92x = 14,878.44 × 6,065.64
  4. Step 4: Simplify right side
    10,780.92x = 90,247,260.80
  5. Step 5: Solve for x
    x = 90,247,260.80/10,780.92
  6. Step 6: Final answer
    x = 8,371.02

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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.