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Finding the Fourth Proportional to 7,658.81, 11,491.07 and 5,216.66

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Solution

The fourth proportional to 7,658.81, 11,491.07 and 5,216.66 is: 7,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.81 : 11,491.07 = 5,216.66 : x
  2. Step 2: Convert to fraction form
    7,658.81/11,491.07 = 5,216.66/x
  3. Step 3: Cross multiply
    7,658.81x = 11,491.07 × 5,216.66
  4. Step 4: Simplify right side
    7,658.81x = 59,945,005.23
  5. Step 5: Solve for x
    x = 59,945,005.23/7,658.81
  6. Step 6: Final answer
    x = 7,826.93

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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.