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Finding the Fourth Proportional to 7,754.16, 11,631.24 and 2,560.02

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Solution

The fourth proportional to 7,754.16, 11,631.24 and 2,560.02 is: 3,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.16 : 11,631.24 = 2,560.02 : x
  2. Step 2: Convert to fraction form
    7,754.16/11,631.24 = 2,560.02/x
  3. Step 3: Cross multiply
    7,754.16x = 11,631.24 × 2,560.02
  4. Step 4: Simplify right side
    7,754.16x = 29,776,207.02
  5. Step 5: Solve for x
    x = 29,776,207.02/7,754.16
  6. Step 6: Final answer
    x = 3,840.03

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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.