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Finding the Fourth Proportional to 6,754.32, 10,134.51 and 4,288.48

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Solution

The fourth proportional to 6,754.32, 10,134.51 and 4,288.48 is: 6,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.32 : 10,134.51 = 4,288.48 : x
  2. Step 2: Convert to fraction form
    6,754.32/10,134.51 = 4,288.48/x
  3. Step 3: Cross multiply
    6,754.32x = 10,134.51 × 4,288.48
  4. Step 4: Simplify right side
    6,754.32x = 43,461,643.44
  5. Step 5: Solve for x
    x = 43,461,643.44/6,754.32
  6. Step 6: Final answer
    x = 6,434.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.