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Finding the Fourth Proportional to 10,285.44, 14,193.86 and 5,569.70

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Solution

The fourth proportional to 10,285.44, 14,193.86 and 5,569.70 is: 7,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.44 : 14,193.86 = 5,569.70 : x
  2. Step 2: Convert to fraction form
    10,285.44/14,193.86 = 5,569.70/x
  3. Step 3: Cross multiply
    10,285.44x = 14,193.86 × 5,569.70
  4. Step 4: Simplify right side
    10,285.44x = 79,055,542.04
  5. Step 5: Solve for x
    x = 79,055,542.04/10,285.44
  6. Step 6: Final answer
    x = 7,686.16

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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.