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Finding the Fourth Proportional to 8,402.52, 11,590.32 and 5,413.68

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Solution

The fourth proportional to 8,402.52, 11,590.32 and 5,413.68 is: 7,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.52 : 11,590.32 = 5,413.68 : x
  2. Step 2: Convert to fraction form
    8,402.52/11,590.32 = 5,413.68/x
  3. Step 3: Cross multiply
    8,402.52x = 11,590.32 × 5,413.68
  4. Step 4: Simplify right side
    8,402.52x = 62,746,283.58
  5. Step 5: Solve for x
    x = 62,746,283.58/8,402.52
  6. Step 6: Final answer
    x = 7,467.56

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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.