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Finding the Fourth Proportional to 7,403.68, 10,217.05 and 4,046.49

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Solution

The fourth proportional to 7,403.68, 10,217.05 and 4,046.49 is: 5,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.68 : 10,217.05 = 4,046.49 : x
  2. Step 2: Convert to fraction form
    7,403.68/10,217.05 = 4,046.49/x
  3. Step 3: Cross multiply
    7,403.68x = 10,217.05 × 4,046.49
  4. Step 4: Simplify right side
    7,403.68x = 41,343,197.00
  5. Step 5: Solve for x
    x = 41,343,197.00/7,403.68
  6. Step 6: Final answer
    x = 5,584.14

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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.