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Finding the Fourth Proportional to 7,354.98, 10,140.12 and 6,091.38

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Solution

The fourth proportional to 7,354.98, 10,140.12 and 6,091.38 is: 8,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.98 : 10,140.12 = 6,091.38 : x
  2. Step 2: Convert to fraction form
    7,354.98/10,140.12 = 6,091.38/x
  3. Step 3: Cross multiply
    7,354.98x = 10,140.12 × 6,091.38
  4. Step 4: Simplify right side
    7,354.98x = 61,767,324.17
  5. Step 5: Solve for x
    x = 61,767,324.17/7,354.98
  6. Step 6: Final answer
    x = 8,398.03

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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.