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Finding the Fourth Proportional to 7,438.16, 10,257.84 and 5,754.18

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Solution

The fourth proportional to 7,438.16, 10,257.84 and 5,754.18 is: 7,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.16 : 10,257.84 = 5,754.18 : x
  2. Step 2: Convert to fraction form
    7,438.16/10,257.84 = 5,754.18/x
  3. Step 3: Cross multiply
    7,438.16x = 10,257.84 × 5,754.18
  4. Step 4: Simplify right side
    7,438.16x = 59,025,457.77
  5. Step 5: Solve for x
    x = 59,025,457.77/7,438.16
  6. Step 6: Final answer
    x = 7,935.49

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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.