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Finding the Fourth Proportional to 7,545.72, 10,413.12 and 4,188.30

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Solution

The fourth proportional to 7,545.72, 10,413.12 and 4,188.30 is: 5,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.72 : 10,413.12 = 4,188.30 : x
  2. Step 2: Convert to fraction form
    7,545.72/10,413.12 = 4,188.30/x
  3. Step 3: Cross multiply
    7,545.72x = 10,413.12 × 4,188.30
  4. Step 4: Simplify right side
    7,545.72x = 43,613,270.50
  5. Step 5: Solve for x
    x = 43,613,270.50/7,545.72
  6. Step 6: Final answer
    x = 5,779.87

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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.