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Finding the Fourth Proportional to 11,351.69, 15,664.41 and 6,315.92

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Solution

The fourth proportional to 11,351.69, 15,664.41 and 6,315.92 is: 8,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.69 : 15,664.41 = 6,315.92 : x
  2. Step 2: Convert to fraction form
    11,351.69/15,664.41 = 6,315.92/x
  3. Step 3: Cross multiply
    11,351.69x = 15,664.41 × 6,315.92
  4. Step 4: Simplify right side
    11,351.69x = 98,935,160.41
  5. Step 5: Solve for x
    x = 98,935,160.41/11,351.69
  6. Step 6: Final answer
    x = 8,715.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.