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Finding the Fourth Proportional to 7,430.13, 10,233.95 and 5,751.41

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Solution

The fourth proportional to 7,430.13, 10,233.95 and 5,751.41 is: 7,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.13 : 10,233.95 = 5,751.41 : x
  2. Step 2: Convert to fraction form
    7,430.13/10,233.95 = 5,751.41/x
  3. Step 3: Cross multiply
    7,430.13x = 10,233.95 × 5,751.41
  4. Step 4: Simplify right side
    7,430.13x = 58,859,562.44
  5. Step 5: Solve for x
    x = 58,859,562.44/7,430.13
  6. Step 6: Final answer
    x = 7,921.74

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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.