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Finding the Fourth Proportional to 10,605.60, 15,897.60 and 6,220.80

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Solution

The fourth proportional to 10,605.60, 15,897.60 and 6,220.80 is: 9,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.60 : 15,897.60 = 6,220.80 : x
  2. Step 2: Convert to fraction form
    10,605.60/15,897.60 = 6,220.80/x
  3. Step 3: Cross multiply
    10,605.60x = 15,897.60 × 6,220.80
  4. Step 4: Simplify right side
    10,605.60x = 98,895,790.08
  5. Step 5: Solve for x
    x = 98,895,790.08/10,605.60
  6. Step 6: Final answer
    x = 9,324.87

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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.