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Finding the Fourth Proportional to 10,548.78, 15,823.03 and 3,153.30

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Solution

The fourth proportional to 10,548.78, 15,823.03 and 3,153.30 is: 4,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.78 : 15,823.03 = 3,153.30 : x
  2. Step 2: Convert to fraction form
    10,548.78/15,823.03 = 3,153.30/x
  3. Step 3: Cross multiply
    10,548.78x = 15,823.03 × 3,153.30
  4. Step 4: Simplify right side
    10,548.78x = 49,894,760.50
  5. Step 5: Solve for x
    x = 49,894,760.50/10,548.78
  6. Step 6: Final answer
    x = 4,729.91

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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.