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Finding the Fourth Proportional to 10,476.09, 15,710.80 and 3,454.79

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Solution

The fourth proportional to 10,476.09, 15,710.80 and 3,454.79 is: 5,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.09 : 15,710.80 = 3,454.79 : x
  2. Step 2: Convert to fraction form
    10,476.09/15,710.80 = 3,454.79/x
  3. Step 3: Cross multiply
    10,476.09x = 15,710.80 × 3,454.79
  4. Step 4: Simplify right side
    10,476.09x = 54,277,576.30
  5. Step 5: Solve for x
    x = 54,277,576.30/10,476.09
  6. Step 6: Final answer
    x = 5,181.09

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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.