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Finding the Fourth Proportional to 8,413.86, 11,606.31 and 5,264.58

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Solution

The fourth proportional to 8,413.86, 11,606.31 and 5,264.58 is: 7,262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.86 : 11,606.31 = 5,264.58 : x
  2. Step 2: Convert to fraction form
    8,413.86/11,606.31 = 5,264.58/x
  3. Step 3: Cross multiply
    8,413.86x = 11,606.31 × 5,264.58
  4. Step 4: Simplify right side
    8,413.86x = 61,102,347.50
  5. Step 5: Solve for x
    x = 61,102,347.50/8,413.86
  6. Step 6: Final answer
    x = 7,262.11

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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.