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Finding the Fourth Proportional to 7,760.41, 11,622.08 and 4,466.58

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Solution

The fourth proportional to 7,760.41, 11,622.08 and 4,466.58 is: 6,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.41 : 11,622.08 = 4,466.58 : x
  2. Step 2: Convert to fraction form
    7,760.41/11,622.08 = 4,466.58/x
  3. Step 3: Cross multiply
    7,760.41x = 11,622.08 × 4,466.58
  4. Step 4: Simplify right side
    7,760.41x = 51,910,917.67
  5. Step 5: Solve for x
    x = 51,910,917.67/7,760.41
  6. Step 6: Final answer
    x = 6,689.20

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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.