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Finding the Fourth Proportional to 10,572.97, 14,590.65 and 6,096.70

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Solution

The fourth proportional to 10,572.97, 14,590.65 and 6,096.70 is: 8,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.97 : 14,590.65 = 6,096.70 : x
  2. Step 2: Convert to fraction form
    10,572.97/14,590.65 = 6,096.70/x
  3. Step 3: Cross multiply
    10,572.97x = 14,590.65 × 6,096.70
  4. Step 4: Simplify right side
    10,572.97x = 88,954,815.86
  5. Step 5: Solve for x
    x = 88,954,815.86/10,572.97
  6. Step 6: Final answer
    x = 8,413.42

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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.