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Finding the Fourth Proportional to 7,301.13, 10,074.78 and 4,113.91

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Solution

The fourth proportional to 7,301.13, 10,074.78 and 4,113.91 is: 5,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.13 : 10,074.78 = 4,113.91 : x
  2. Step 2: Convert to fraction form
    7,301.13/10,074.78 = 4,113.91/x
  3. Step 3: Cross multiply
    7,301.13x = 10,074.78 × 4,113.91
  4. Step 4: Simplify right side
    7,301.13x = 41,446,738.19
  5. Step 5: Solve for x
    x = 41,446,738.19/7,301.13
  6. Step 6: Final answer
    x = 5,676.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.