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Finding the Fourth Proportional to 11,154.56, 15,413.76 and 8,005.76

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Solution

The fourth proportional to 11,154.56, 15,413.76 and 8,005.76 is: 11,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.56 : 15,413.76 = 8,005.76 : x
  2. Step 2: Convert to fraction form
    11,154.56/15,413.76 = 8,005.76/x
  3. Step 3: Cross multiply
    11,154.56x = 15,413.76 × 8,005.76
  4. Step 4: Simplify right side
    11,154.56x = 123,398,863.26
  5. Step 5: Solve for x
    x = 123,398,863.26/11,154.56
  6. Step 6: Final answer
    x = 11,062.64

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