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Finding the Fourth Proportional to 10,011.91, 13,816.22 and 5,535.85

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Solution

The fourth proportional to 10,011.91, 13,816.22 and 5,535.85 is: 7,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.91 : 13,816.22 = 5,535.85 : x
  2. Step 2: Convert to fraction form
    10,011.91/13,816.22 = 5,535.85/x
  3. Step 3: Cross multiply
    10,011.91x = 13,816.22 × 5,535.85
  4. Step 4: Simplify right side
    10,011.91x = 76,484,424.73
  5. Step 5: Solve for x
    x = 76,484,424.73/10,011.91
  6. Step 6: Final answer
    x = 7,639.35

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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.