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Finding the Fourth Proportional to 10,142.88, 15,184.80 and 6,235.20

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Solution

The fourth proportional to 10,142.88, 15,184.80 and 6,235.20 is: 9,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.88 : 15,184.80 = 6,235.20 : x
  2. Step 2: Convert to fraction form
    10,142.88/15,184.80 = 6,235.20/x
  3. Step 3: Cross multiply
    10,142.88x = 15,184.80 × 6,235.20
  4. Step 4: Simplify right side
    10,142.88x = 94,680,264.96
  5. Step 5: Solve for x
    x = 94,680,264.96/10,142.88
  6. Step 6: Final answer
    x = 9,334.65

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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.