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Finding the Fourth Proportional to 10,229.70, 15,335.55 and 4,962.06

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Solution

The fourth proportional to 10,229.70, 15,335.55 and 4,962.06 is: 7,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.70 : 15,335.55 = 4,962.06 : x
  2. Step 2: Convert to fraction form
    10,229.70/15,335.55 = 4,962.06/x
  3. Step 3: Cross multiply
    10,229.70x = 15,335.55 × 4,962.06
  4. Step 4: Simplify right side
    10,229.70x = 76,095,919.23
  5. Step 5: Solve for x
    x = 76,095,919.23/10,229.70
  6. Step 6: Final answer
    x = 7,438.72

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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.