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Finding the Fourth Proportional to 10,304.80, 15,447.60 and 7,184.80

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Solution

The fourth proportional to 10,304.80, 15,447.60 and 7,184.80 is: 10,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.80 : 15,447.60 = 7,184.80 : x
  2. Step 2: Convert to fraction form
    10,304.80/15,447.60 = 7,184.80/x
  3. Step 3: Cross multiply
    10,304.80x = 15,447.60 × 7,184.80
  4. Step 4: Simplify right side
    10,304.80x = 110,987,916.48
  5. Step 5: Solve for x
    x = 110,987,916.48/10,304.80
  6. Step 6: Final answer
    x = 10,770.51

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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.