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Finding the Fourth Proportional to 7,474.15, 10,313.98 and 4,116.75

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Solution

The fourth proportional to 7,474.15, 10,313.98 and 4,116.75 is: 5,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.15 : 10,313.98 = 4,116.75 : x
  2. Step 2: Convert to fraction form
    7,474.15/10,313.98 = 4,116.75/x
  3. Step 3: Cross multiply
    7,474.15x = 10,313.98 × 4,116.75
  4. Step 4: Simplify right side
    7,474.15x = 42,460,077.17
  5. Step 5: Solve for x
    x = 42,460,077.17/7,474.15
  6. Step 6: Final answer
    x = 5,680.92

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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.