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Finding the Fourth Proportional to 10,473.42, 15,706.04 and 3,896.02

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Solution

The fourth proportional to 10,473.42, 15,706.04 and 3,896.02 is: 5,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.42 : 15,706.04 = 3,896.02 : x
  2. Step 2: Convert to fraction form
    10,473.42/15,706.04 = 3,896.02/x
  3. Step 3: Cross multiply
    10,473.42x = 15,706.04 × 3,896.02
  4. Step 4: Simplify right side
    10,473.42x = 61,191,046.11
  5. Step 5: Solve for x
    x = 61,191,046.11/10,473.42
  6. Step 6: Final answer
    x = 5,842.51

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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.