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Finding the Fourth Proportional to 12,645.64, 17,445.54 and 7,929.02

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Solution

The fourth proportional to 12,645.64, 17,445.54 and 7,929.02 is: 10,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.64 : 17,445.54 = 7,929.02 : x
  2. Step 2: Convert to fraction form
    12,645.64/17,445.54 = 7,929.02/x
  3. Step 3: Cross multiply
    12,645.64x = 17,445.54 × 7,929.02
  4. Step 4: Simplify right side
    12,645.64x = 138,326,035.57
  5. Step 5: Solve for x
    x = 138,326,035.57/12,645.64
  6. Step 6: Final answer
    x = 10,938.63

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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.