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Finding the Fourth Proportional to 10,339.76, 14,258.38 and 8,852.60

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Solution

The fourth proportional to 10,339.76, 14,258.38 and 8,852.60 is: 12,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.76 : 14,258.38 = 8,852.60 : x
  2. Step 2: Convert to fraction form
    10,339.76/14,258.38 = 8,852.60/x
  3. Step 3: Cross multiply
    10,339.76x = 14,258.38 × 8,852.60
  4. Step 4: Simplify right side
    10,339.76x = 126,223,734.79
  5. Step 5: Solve for x
    x = 126,223,734.79/10,339.76
  6. Step 6: Final answer
    x = 12,207.61

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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.