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Finding the Fourth Proportional to 7,760.58, 11,639.04 and 3,864.06

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Solution

The fourth proportional to 7,760.58, 11,639.04 and 3,864.06 is: 5,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.58 : 11,639.04 = 3,864.06 : x
  2. Step 2: Convert to fraction form
    7,760.58/11,639.04 = 3,864.06/x
  3. Step 3: Cross multiply
    7,760.58x = 11,639.04 × 3,864.06
  4. Step 4: Simplify right side
    7,760.58x = 44,973,948.90
  5. Step 5: Solve for x
    x = 44,973,948.90/7,760.58
  6. Step 6: Final answer
    x = 5,795.18

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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.