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Finding the Fourth Proportional to 7,245.71, 9,997.63 and 4,411.19

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Solution

The fourth proportional to 7,245.71, 9,997.63 and 4,411.19 is: 6,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.71 : 9,997.63 = 4,411.19 : x
  2. Step 2: Convert to fraction form
    7,245.71/9,997.63 = 4,411.19/x
  3. Step 3: Cross multiply
    7,245.71x = 9,997.63 × 4,411.19
  4. Step 4: Simplify right side
    7,245.71x = 44,101,373.44
  5. Step 5: Solve for x
    x = 44,101,373.44/7,245.71
  6. Step 6: Final answer
    x = 6,086.55

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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.