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Finding the Fourth Proportional to 10,878.82, 16,392.38 and 8,947.71

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Solution

The fourth proportional to 10,878.82, 16,392.38 and 8,947.71 is: 13,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.82 : 16,392.38 = 8,947.71 : x
  2. Step 2: Convert to fraction form
    10,878.82/16,392.38 = 8,947.71/x
  3. Step 3: Cross multiply
    10,878.82x = 16,392.38 × 8,947.71
  4. Step 4: Simplify right side
    10,878.82x = 146,674,217.71
  5. Step 5: Solve for x
    x = 146,674,217.71/10,878.82
  6. Step 6: Final answer
    x = 13,482.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.