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Finding the Fourth Proportional to 7,280.19, 10,046.70 and 4,136.31

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Solution

The fourth proportional to 7,280.19, 10,046.70 and 4,136.31 is: 5,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.19 : 10,046.70 = 4,136.31 : x
  2. Step 2: Convert to fraction form
    7,280.19/10,046.70 = 4,136.31/x
  3. Step 3: Cross multiply
    7,280.19x = 10,046.70 × 4,136.31
  4. Step 4: Simplify right side
    7,280.19x = 41,556,265.68
  5. Step 5: Solve for x
    x = 41,556,265.68/7,280.19
  6. Step 6: Final answer
    x = 5,708.13

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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.