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Finding the Fourth Proportional to 10,413.95, 15,614.00 and 5,736.17

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Solution

The fourth proportional to 10,413.95, 15,614.00 and 5,736.17 is: 8,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.95 : 15,614.00 = 5,736.17 : x
  2. Step 2: Convert to fraction form
    10,413.95/15,614.00 = 5,736.17/x
  3. Step 3: Cross multiply
    10,413.95x = 15,614.00 × 5,736.17
  4. Step 4: Simplify right side
    10,413.95x = 89,564,590.24
  5. Step 5: Solve for x
    x = 89,564,590.24/10,413.95
  6. Step 6: Final answer
    x = 8,600.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.