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Finding the Fourth Proportional to 12,773.16, 17,627.88 and 7,108.38

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Solution

The fourth proportional to 12,773.16, 17,627.88 and 7,108.38 is: 9,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.16 : 17,627.88 = 7,108.38 : x
  2. Step 2: Convert to fraction form
    12,773.16/17,627.88 = 7,108.38/x
  3. Step 3: Cross multiply
    12,773.16x = 17,627.88 × 7,108.38
  4. Step 4: Simplify right side
    12,773.16x = 125,305,669.63
  5. Step 5: Solve for x
    x = 125,305,669.63/12,773.16
  6. Step 6: Final answer
    x = 9,810.08

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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.