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Finding the Fourth Proportional to 10,891.80, 16,328.10 and 9,725.40

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Solution

The fourth proportional to 10,891.80, 16,328.10 and 9,725.40 is: 14,579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.80 : 16,328.10 = 9,725.40 : x
  2. Step 2: Convert to fraction form
    10,891.80/16,328.10 = 9,725.40/x
  3. Step 3: Cross multiply
    10,891.80x = 16,328.10 × 9,725.40
  4. Step 4: Simplify right side
    10,891.80x = 158,797,303.74
  5. Step 5: Solve for x
    x = 158,797,303.74/10,891.80
  6. Step 6: Final answer
    x = 14,579.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.