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Finding the Fourth Proportional to 8,814.42, 12,163.12 and 5,036.83

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Solution

The fourth proportional to 8,814.42, 12,163.12 and 5,036.83 is: 6,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.42 : 12,163.12 = 5,036.83 : x
  2. Step 2: Convert to fraction form
    8,814.42/12,163.12 = 5,036.83/x
  3. Step 3: Cross multiply
    8,814.42x = 12,163.12 × 5,036.83
  4. Step 4: Simplify right side
    8,814.42x = 61,263,567.71
  5. Step 5: Solve for x
    x = 61,263,567.71/8,814.42
  6. Step 6: Final answer
    x = 6,950.38

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Why These Related Problems?

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