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Finding the Fourth Proportional to 10,044.74, 15,058.83 and 4,777.66

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Solution

The fourth proportional to 10,044.74, 15,058.83 and 4,777.66 is: 7,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044.74 : 15,058.83 = 4,777.66 : x
  2. Step 2: Convert to fraction form
    10,044.74/15,058.83 = 4,777.66/x
  3. Step 3: Cross multiply
    10,044.74x = 15,058.83 × 4,777.66
  4. Step 4: Simplify right side
    10,044.74x = 71,945,969.74
  5. Step 5: Solve for x
    x = 71,945,969.74/10,044.74
  6. Step 6: Final answer
    x = 7,162.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.