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Finding the Fourth Proportional to 7,403.42, 10,216.53 and 4,046.24

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Solution

The fourth proportional to 7,403.42, 10,216.53 and 4,046.24 is: 5,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.42 : 10,216.53 = 4,046.24 : x
  2. Step 2: Convert to fraction form
    7,403.42/10,216.53 = 4,046.24/x
  3. Step 3: Cross multiply
    7,403.42x = 10,216.53 × 4,046.24
  4. Step 4: Simplify right side
    7,403.42x = 41,338,532.35
  5. Step 5: Solve for x
    x = 41,338,532.35/7,403.42
  6. Step 6: Final answer
    x = 5,583.71

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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.