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Finding the Fourth Proportional to 7,431.13, 10,255.02 and 4,073.98

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Solution

The fourth proportional to 7,431.13, 10,255.02 and 4,073.98 is: 5,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.13 : 10,255.02 = 4,073.98 : x
  2. Step 2: Convert to fraction form
    7,431.13/10,255.02 = 4,073.98/x
  3. Step 3: Cross multiply
    7,431.13x = 10,255.02 × 4,073.98
  4. Step 4: Simplify right side
    7,431.13x = 41,778,746.38
  5. Step 5: Solve for x
    x = 41,778,746.38/7,431.13
  6. Step 6: Final answer
    x = 5,622.13

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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.