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Finding the Fourth Proportional to 10,935.94, 15,098.72 and 8,413.38

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Solution

The fourth proportional to 10,935.94, 15,098.72 and 8,413.38 is: 11,615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.94 : 15,098.72 = 8,413.38 : x
  2. Step 2: Convert to fraction form
    10,935.94/15,098.72 = 8,413.38/x
  3. Step 3: Cross multiply
    10,935.94x = 15,098.72 × 8,413.38
  4. Step 4: Simplify right side
    10,935.94x = 127,031,268.87
  5. Step 5: Solve for x
    x = 127,031,268.87/10,935.94
  6. Step 6: Final answer
    x = 11,615.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.