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Finding the Fourth Proportional to 7,782.24, 11,606.37 and 6,619.62

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Solution

The fourth proportional to 7,782.24, 11,606.37 and 6,619.62 is: 9,872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.24 : 11,606.37 = 6,619.62 : x
  2. Step 2: Convert to fraction form
    7,782.24/11,606.37 = 6,619.62/x
  3. Step 3: Cross multiply
    7,782.24x = 11,606.37 × 6,619.62
  4. Step 4: Simplify right side
    7,782.24x = 76,829,758.98
  5. Step 5: Solve for x
    x = 76,829,758.98/7,782.24
  6. Step 6: Final answer
    x = 9,872.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.