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Finding the Fourth Proportional to 7,398.98, 10,209.66 and 4,212.69

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Solution

The fourth proportional to 7,398.98, 10,209.66 and 4,212.69 is: 5,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.98 : 10,209.66 = 4,212.69 : x
  2. Step 2: Convert to fraction form
    7,398.98/10,209.66 = 4,212.69/x
  3. Step 3: Cross multiply
    7,398.98x = 10,209.66 × 4,212.69
  4. Step 4: Simplify right side
    7,398.98x = 43,010,132.59
  5. Step 5: Solve for x
    x = 43,010,132.59/7,398.98
  6. Step 6: Final answer
    x = 5,812.99

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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.