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Finding the Fourth Proportional to 10,603.98, 15,913.22 and 5,413.50

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Solution

The fourth proportional to 10,603.98, 15,913.22 and 5,413.50 is: 8,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.98 : 15,913.22 = 5,413.50 : x
  2. Step 2: Convert to fraction form
    10,603.98/15,913.22 = 5,413.50/x
  3. Step 3: Cross multiply
    10,603.98x = 15,913.22 × 5,413.50
  4. Step 4: Simplify right side
    10,603.98x = 86,146,189.40
  5. Step 5: Solve for x
    x = 86,146,189.40/10,603.98
  6. Step 6: Final answer
    x = 8,123.95

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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.