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Finding the Fourth Proportional to 7,582.44, 10,463.13 and 4,224.99

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Solution

The fourth proportional to 7,582.44, 10,463.13 and 4,224.99 is: 5,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.44 : 10,463.13 = 4,224.99 : x
  2. Step 2: Convert to fraction form
    7,582.44/10,463.13 = 4,224.99/x
  3. Step 3: Cross multiply
    7,582.44x = 10,463.13 × 4,224.99
  4. Step 4: Simplify right side
    7,582.44x = 44,206,619.62
  5. Step 5: Solve for x
    x = 44,206,619.62/7,582.44
  6. Step 6: Final answer
    x = 5,830.13

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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.