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Finding the Fourth Proportional to 11,853.66, 17,785.27 and 5,275.34

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Solution

The fourth proportional to 11,853.66, 17,785.27 and 5,275.34 is: 7,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.66 : 17,785.27 = 5,275.34 : x
  2. Step 2: Convert to fraction form
    11,853.66/17,785.27 = 5,275.34/x
  3. Step 3: Cross multiply
    11,853.66x = 17,785.27 × 5,275.34
  4. Step 4: Simplify right side
    11,853.66x = 93,823,430.65
  5. Step 5: Solve for x
    x = 93,823,430.65/11,853.66
  6. Step 6: Final answer
    x = 7,915.15

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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.