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Finding the Fourth Proportional to 10,272.66, 15,413.76 and 3,253.76

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Solution

The fourth proportional to 10,272.66, 15,413.76 and 3,253.76 is: 4,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.66 : 15,413.76 = 3,253.76 : x
  2. Step 2: Convert to fraction form
    10,272.66/15,413.76 = 3,253.76/x
  3. Step 3: Cross multiply
    10,272.66x = 15,413.76 × 3,253.76
  4. Step 4: Simplify right side
    10,272.66x = 50,152,598.67
  5. Step 5: Solve for x
    x = 50,152,598.67/10,272.66
  6. Step 6: Final answer
    x = 4,882.14

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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.