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Finding the Fourth Proportional to 10,540.80, 14,546.28 and 6,065.40

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Solution

The fourth proportional to 10,540.80, 14,546.28 and 6,065.40 is: 8,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.80 : 14,546.28 = 6,065.40 : x
  2. Step 2: Convert to fraction form
    10,540.80/14,546.28 = 6,065.40/x
  3. Step 3: Cross multiply
    10,540.80x = 14,546.28 × 6,065.40
  4. Step 4: Simplify right side
    10,540.80x = 88,229,006.71
  5. Step 5: Solve for x
    x = 88,229,006.71/10,540.80
  6. Step 6: Final answer
    x = 8,370.24

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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.