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Finding the Fourth Proportional to 10,205.46, 15,301.08 and 3,540.30

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Solution

The fourth proportional to 10,205.46, 15,301.08 and 3,540.30 is: 5,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.46 : 15,301.08 = 3,540.30 : x
  2. Step 2: Convert to fraction form
    10,205.46/15,301.08 = 3,540.30/x
  3. Step 3: Cross multiply
    10,205.46x = 15,301.08 × 3,540.30
  4. Step 4: Simplify right side
    10,205.46x = 54,170,413.52
  5. Step 5: Solve for x
    x = 54,170,413.52/10,205.46
  6. Step 6: Final answer
    x = 5,307.98

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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.