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Finding the Fourth Proportional to 10,285.65, 14,194.17 and 5,569.90

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Solution

The fourth proportional to 10,285.65, 14,194.17 and 5,569.90 is: 7,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.65 : 14,194.17 = 5,569.90 : x
  2. Step 2: Convert to fraction form
    10,285.65/14,194.17 = 5,569.90/x
  3. Step 3: Cross multiply
    10,285.65x = 14,194.17 × 5,569.90
  4. Step 4: Simplify right side
    10,285.65x = 79,060,072.00
  5. Step 5: Solve for x
    x = 79,060,072.00/10,285.65
  6. Step 6: Final answer
    x = 7,686.44

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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.