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Finding the Fourth Proportional to 10,631, 15,834.20 and 10,075.88

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Solution

The fourth proportional to 10,631, 15,834.20 and 10,075.88 is: 15,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,631 : 15,834.20 = 10,075.88 : x
  2. Step 2: Convert to fraction form
    10,631/15,834.20 = 10,075.88/x
  3. Step 3: Cross multiply
    10,631x = 15,834.20 × 10,075.88
  4. Step 4: Simplify right side
    10,631x = 159,543,499.10
  5. Step 5: Solve for x
    x = 159,543,499.10/10,631
  6. Step 6: Final answer
    x = 15,007.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.