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Finding the Fourth Proportional to 7,208.35, 10,740.87 and 6,422.31

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Solution

The fourth proportional to 7,208.35, 10,740.87 and 6,422.31 is: 9,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.35 : 10,740.87 = 6,422.31 : x
  2. Step 2: Convert to fraction form
    7,208.35/10,740.87 = 6,422.31/x
  3. Step 3: Cross multiply
    7,208.35x = 10,740.87 × 6,422.31
  4. Step 4: Simplify right side
    7,208.35x = 68,981,196.81
  5. Step 5: Solve for x
    x = 68,981,196.81/7,208.35
  6. Step 6: Final answer
    x = 9,569.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.