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Finding the Fourth Proportional to 7,545.76, 10,413.18 and 4,188.64

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Solution

The fourth proportional to 7,545.76, 10,413.18 and 4,188.64 is: 5,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.76 : 10,413.18 = 4,188.64 : x
  2. Step 2: Convert to fraction form
    7,545.76/10,413.18 = 4,188.64/x
  3. Step 3: Cross multiply
    7,545.76x = 10,413.18 × 4,188.64
  4. Step 4: Simplify right side
    7,545.76x = 43,617,062.28
  5. Step 5: Solve for x
    x = 43,617,062.28/7,545.76
  6. Step 6: Final answer
    x = 5,780.34

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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.