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Finding the Fourth Proportional to 10,328.34, 14,258.97 and 6,801.78

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Solution

The fourth proportional to 10,328.34, 14,258.97 and 6,801.78 is: 9,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.34 : 14,258.97 = 6,801.78 : x
  2. Step 2: Convert to fraction form
    10,328.34/14,258.97 = 6,801.78/x
  3. Step 3: Cross multiply
    10,328.34x = 14,258.97 × 6,801.78
  4. Step 4: Simplify right side
    10,328.34x = 96,986,376.97
  5. Step 5: Solve for x
    x = 96,986,376.97/10,328.34
  6. Step 6: Final answer
    x = 9,390.32

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Why These Related Problems?

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