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Finding the Fourth Proportional to 8,498.81, 11,715.22 and 6,924.17

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Solution

The fourth proportional to 8,498.81, 11,715.22 and 6,924.17 is: 9,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.81 : 11,715.22 = 6,924.17 : x
  2. Step 2: Convert to fraction form
    8,498.81/11,715.22 = 6,924.17/x
  3. Step 3: Cross multiply
    8,498.81x = 11,715.22 × 6,924.17
  4. Step 4: Simplify right side
    8,498.81x = 81,118,174.87
  5. Step 5: Solve for x
    x = 81,118,174.87/8,498.81
  6. Step 6: Final answer
    x = 9,544.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.