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Finding the Fourth Proportional to 7,760.65, 11,647.71 and 4,065.46

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Solution

The fourth proportional to 7,760.65, 11,647.71 and 4,065.46 is: 6,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.65 : 11,647.71 = 4,065.46 : x
  2. Step 2: Convert to fraction form
    7,760.65/11,647.71 = 4,065.46/x
  3. Step 3: Cross multiply
    7,760.65x = 11,647.71 × 4,065.46
  4. Step 4: Simplify right side
    7,760.65x = 47,353,299.10
  5. Step 5: Solve for x
    x = 47,353,299.10/7,760.65
  6. Step 6: Final answer
    x = 6,101.72

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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.