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Finding the Fourth Proportional to 10,854.88, 14,977.08 and 6,378.80

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Solution

The fourth proportional to 10,854.88, 14,977.08 and 6,378.80 is: 8,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.88 : 14,977.08 = 6,378.80 : x
  2. Step 2: Convert to fraction form
    10,854.88/14,977.08 = 6,378.80/x
  3. Step 3: Cross multiply
    10,854.88x = 14,977.08 × 6,378.80
  4. Step 4: Simplify right side
    10,854.88x = 95,535,797.90
  5. Step 5: Solve for x
    x = 95,535,797.90/10,854.88
  6. Step 6: Final answer
    x = 8,801.18

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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.