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Finding the Fourth Proportional to 7,204.80, 10,823.40 and 7,010.40

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Solution

The fourth proportional to 7,204.80, 10,823.40 and 7,010.40 is: 10,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.80 : 10,823.40 = 7,010.40 : x
  2. Step 2: Convert to fraction form
    7,204.80/10,823.40 = 7,010.40/x
  3. Step 3: Cross multiply
    7,204.80x = 10,823.40 × 7,010.40
  4. Step 4: Simplify right side
    7,204.80x = 75,876,363.36
  5. Step 5: Solve for x
    x = 75,876,363.36/7,204.80
  6. Step 6: Final answer
    x = 10,531.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.