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Finding the Fourth Proportional to 7,473.64, 10,313.70 and 4,116.48

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Solution

The fourth proportional to 7,473.64, 10,313.70 and 4,116.48 is: 5,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.64 : 10,313.70 = 4,116.48 : x
  2. Step 2: Convert to fraction form
    7,473.64/10,313.70 = 4,116.48/x
  3. Step 3: Cross multiply
    7,473.64x = 10,313.70 × 4,116.48
  4. Step 4: Simplify right side
    7,473.64x = 42,456,149.40
  5. Step 5: Solve for x
    x = 42,456,149.40/7,473.64
  6. Step 6: Final answer
    x = 5,680.78

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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.