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Finding the Fourth Proportional to 8,009.78, 11,058.57 and 5,178.51

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Solution

The fourth proportional to 8,009.78, 11,058.57 and 5,178.51 is: 7,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.78 : 11,058.57 = 5,178.51 : x
  2. Step 2: Convert to fraction form
    8,009.78/11,058.57 = 5,178.51/x
  3. Step 3: Cross multiply
    8,009.78x = 11,058.57 × 5,178.51
  4. Step 4: Simplify right side
    8,009.78x = 57,266,915.33
  5. Step 5: Solve for x
    x = 57,266,915.33/8,009.78
  6. Step 6: Final answer
    x = 7,149.63

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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.