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Finding the Fourth Proportional to 10,828.22, 14,929.52 and 8,947.40

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Solution

The fourth proportional to 10,828.22, 14,929.52 and 8,947.40 is: 12,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.22 : 14,929.52 = 8,947.40 : x
  2. Step 2: Convert to fraction form
    10,828.22/14,929.52 = 8,947.40/x
  3. Step 3: Cross multiply
    10,828.22x = 14,929.52 × 8,947.40
  4. Step 4: Simplify right side
    10,828.22x = 133,580,387.25
  5. Step 5: Solve for x
    x = 133,580,387.25/10,828.22
  6. Step 6: Final answer
    x = 12,336.32

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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.