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Finding the Fourth Proportional to 7,462.56, 10,298.06 and 4,105.16

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Solution

The fourth proportional to 7,462.56, 10,298.06 and 4,105.16 is: 5,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.56 : 10,298.06 = 4,105.16 : x
  2. Step 2: Convert to fraction form
    7,462.56/10,298.06 = 4,105.16/x
  3. Step 3: Cross multiply
    7,462.56x = 10,298.06 × 4,105.16
  4. Step 4: Simplify right side
    7,462.56x = 42,275,132.50
  5. Step 5: Solve for x
    x = 42,275,132.50/7,462.56
  6. Step 6: Final answer
    x = 5,664.97

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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.