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Finding the Fourth Proportional to 10,477.61, 15,713.06 and 3,456.05

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Solution

The fourth proportional to 10,477.61, 15,713.06 and 3,456.05 is: 5,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.61 : 15,713.06 = 3,456.05 : x
  2. Step 2: Convert to fraction form
    10,477.61/15,713.06 = 3,456.05/x
  3. Step 3: Cross multiply
    10,477.61x = 15,713.06 × 3,456.05
  4. Step 4: Simplify right side
    10,477.61x = 54,305,121.01
  5. Step 5: Solve for x
    x = 54,305,121.01/10,477.61
  6. Step 6: Final answer
    x = 5,182.97

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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.