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Finding the Fourth Proportional to 7,478.63, 10,320.17 and 4,121.29

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Solution

The fourth proportional to 7,478.63, 10,320.17 and 4,121.29 is: 5,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.63 : 10,320.17 = 4,121.29 : x
  2. Step 2: Convert to fraction form
    7,478.63/10,320.17 = 4,121.29/x
  3. Step 3: Cross multiply
    7,478.63x = 10,320.17 × 4,121.29
  4. Step 4: Simplify right side
    7,478.63x = 42,532,413.42
  5. Step 5: Solve for x
    x = 42,532,413.42/7,478.63
  6. Step 6: Final answer
    x = 5,687.19

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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.