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Finding the Fourth Proportional to 10,058.50, 15,089.91 and 3,902.50

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Solution

The fourth proportional to 10,058.50, 15,089.91 and 3,902.50 is: 5,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.50 : 15,089.91 = 3,902.50 : x
  2. Step 2: Convert to fraction form
    10,058.50/15,089.91 = 3,902.50/x
  3. Step 3: Cross multiply
    10,058.50x = 15,089.91 × 3,902.50
  4. Step 4: Simplify right side
    10,058.50x = 58,888,373.78
  5. Step 5: Solve for x
    x = 58,888,373.78/10,058.50
  6. Step 6: Final answer
    x = 5,854.59

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Why These Related Problems?

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