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Finding the Fourth Proportional to 10,285.57, 14,194.11 and 5,569.85

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Solution

The fourth proportional to 10,285.57, 14,194.11 and 5,569.85 is: 7,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.57 : 14,194.11 = 5,569.85 : x
  2. Step 2: Convert to fraction form
    10,285.57/14,194.11 = 5,569.85/x
  3. Step 3: Cross multiply
    10,285.57x = 14,194.11 × 5,569.85
  4. Step 4: Simplify right side
    10,285.57x = 79,059,063.58
  5. Step 5: Solve for x
    x = 79,059,063.58/10,285.57
  6. Step 6: Final answer
    x = 7,686.41

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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.