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Finding the Fourth Proportional to 8,284.84, 11,433.54 and 5,488.36

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Solution

The fourth proportional to 8,284.84, 11,433.54 and 5,488.36 is: 7,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.84 : 11,433.54 = 5,488.36 : x
  2. Step 2: Convert to fraction form
    8,284.84/11,433.54 = 5,488.36/x
  3. Step 3: Cross multiply
    8,284.84x = 11,433.54 × 5,488.36
  4. Step 4: Simplify right side
    8,284.84x = 62,751,383.59
  5. Step 5: Solve for x
    x = 62,751,383.59/8,284.84
  6. Step 6: Final answer
    x = 7,574.24

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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.