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Finding the Fourth Proportional to 7,545.84, 10,413.30 and 4,188.60

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Solution

The fourth proportional to 7,545.84, 10,413.30 and 4,188.60 is: 5,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.84 : 10,413.30 = 4,188.60 : x
  2. Step 2: Convert to fraction form
    7,545.84/10,413.30 = 4,188.60/x
  3. Step 3: Cross multiply
    7,545.84x = 10,413.30 × 4,188.60
  4. Step 4: Simplify right side
    7,545.84x = 43,617,148.38
  5. Step 5: Solve for x
    x = 43,617,148.38/7,545.84
  6. Step 6: Final answer
    x = 5,780.29

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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.