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Finding the Fourth Proportional to 10,540.25, 15,880.63 and 9,540.80

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Solution

The fourth proportional to 10,540.25, 15,880.63 and 9,540.80 is: 14,374.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.25 : 15,880.63 = 9,540.80 : x
  2. Step 2: Convert to fraction form
    10,540.25/15,880.63 = 9,540.80/x
  3. Step 3: Cross multiply
    10,540.25x = 15,880.63 × 9,540.80
  4. Step 4: Simplify right side
    10,540.25x = 151,513,914.70
  5. Step 5: Solve for x
    x = 151,513,914.70/10,540.25
  6. Step 6: Final answer
    x = 14,374.79

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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.