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Finding the Fourth Proportional to 7,474.41, 10,314.81 and 4,117.50

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Solution

The fourth proportional to 7,474.41, 10,314.81 and 4,117.50 is: 5,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.41 : 10,314.81 = 4,117.50 : x
  2. Step 2: Convert to fraction form
    7,474.41/10,314.81 = 4,117.50/x
  3. Step 3: Cross multiply
    7,474.41x = 10,314.81 × 4,117.50
  4. Step 4: Simplify right side
    7,474.41x = 42,471,230.18
  5. Step 5: Solve for x
    x = 42,471,230.18/7,474.41
  6. Step 6: Final answer
    x = 5,682.22

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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.