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Finding the Fourth Proportional to 10,040.85, 13,851.99 and 7,058.61

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Solution

The fourth proportional to 10,040.85, 13,851.99 and 7,058.61 is: 9,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.85 : 13,851.99 = 7,058.61 : x
  2. Step 2: Convert to fraction form
    10,040.85/13,851.99 = 7,058.61/x
  3. Step 3: Cross multiply
    10,040.85x = 13,851.99 × 7,058.61
  4. Step 4: Simplify right side
    10,040.85x = 97,775,795.13
  5. Step 5: Solve for x
    x = 97,775,795.13/10,040.85
  6. Step 6: Final answer
    x = 9,737.80

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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.