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Finding the Fourth Proportional to 10,097.70, 15,145.83 and 3,174.18

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Solution

The fourth proportional to 10,097.70, 15,145.83 and 3,174.18 is: 4,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.70 : 15,145.83 = 3,174.18 : x
  2. Step 2: Convert to fraction form
    10,097.70/15,145.83 = 3,174.18/x
  3. Step 3: Cross multiply
    10,097.70x = 15,145.83 × 3,174.18
  4. Step 4: Simplify right side
    10,097.70x = 48,075,590.67
  5. Step 5: Solve for x
    x = 48,075,590.67/10,097.70
  6. Step 6: Final answer
    x = 4,761.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.