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Finding the Fourth Proportional to 10,006.62, 13,810.59 and 5,817.18

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Solution

The fourth proportional to 10,006.62, 13,810.59 and 5,817.18 is: 8,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.62 : 13,810.59 = 5,817.18 : x
  2. Step 2: Convert to fraction form
    10,006.62/13,810.59 = 5,817.18/x
  3. Step 3: Cross multiply
    10,006.62x = 13,810.59 × 5,817.18
  4. Step 4: Simplify right side
    10,006.62x = 80,338,687.94
  5. Step 5: Solve for x
    x = 80,338,687.94/10,006.62
  6. Step 6: Final answer
    x = 8,028.55

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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.