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Finding the Fourth Proportional to 12,775.78, 17,630.13 and 7,110.34

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Solution

The fourth proportional to 12,775.78, 17,630.13 and 7,110.34 is: 9,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.78 : 17,630.13 = 7,110.34 : x
  2. Step 2: Convert to fraction form
    12,775.78/17,630.13 = 7,110.34/x
  3. Step 3: Cross multiply
    12,775.78x = 17,630.13 × 7,110.34
  4. Step 4: Simplify right side
    12,775.78x = 125,356,218.54
  5. Step 5: Solve for x
    x = 125,356,218.54/12,775.78
  6. Step 6: Final answer
    x = 9,812.02

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