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Finding the Fourth Proportional to 10,297.65, 15,447.30 and 2,902.71

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Solution

The fourth proportional to 10,297.65, 15,447.30 and 2,902.71 is: 4,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.65 : 15,447.30 = 2,902.71 : x
  2. Step 2: Convert to fraction form
    10,297.65/15,447.30 = 2,902.71/x
  3. Step 3: Cross multiply
    10,297.65x = 15,447.30 × 2,902.71
  4. Step 4: Simplify right side
    10,297.65x = 44,839,032.18
  5. Step 5: Solve for x
    x = 44,839,032.18/10,297.65
  6. Step 6: Final answer
    x = 4,354.30

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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.