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Finding the Fourth Proportional to 10,204.85, 15,308.01 and 4,275.78

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Solution

The fourth proportional to 10,204.85, 15,308.01 and 4,275.78 is: 6,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.85 : 15,308.01 = 4,275.78 : x
  2. Step 2: Convert to fraction form
    10,204.85/15,308.01 = 4,275.78/x
  3. Step 3: Cross multiply
    10,204.85x = 15,308.01 × 4,275.78
  4. Step 4: Simplify right side
    10,204.85x = 65,453,683.00
  5. Step 5: Solve for x
    x = 65,453,683.00/10,204.85
  6. Step 6: Final answer
    x = 6,413.98

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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.