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Finding the Fourth Proportional to 10,476.69, 15,717.39 and 3,081.75

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Solution

The fourth proportional to 10,476.69, 15,717.39 and 3,081.75 is: 4,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.69 : 15,717.39 = 3,081.75 : x
  2. Step 2: Convert to fraction form
    10,476.69/15,717.39 = 3,081.75/x
  3. Step 3: Cross multiply
    10,476.69x = 15,717.39 × 3,081.75
  4. Step 4: Simplify right side
    10,476.69x = 48,437,013.47
  5. Step 5: Solve for x
    x = 48,437,013.47/10,476.69
  6. Step 6: Final answer
    x = 4,623.31

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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.