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Finding the Fourth Proportional to 8,284.66, 11,429.01 and 5,299

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Solution

The fourth proportional to 8,284.66, 11,429.01 and 5,299 is: 7,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.66 : 11,429.01 = 5,299 : x
  2. Step 2: Convert to fraction form
    8,284.66/11,429.01 = 5,299/x
  3. Step 3: Cross multiply
    8,284.66x = 11,429.01 × 5,299
  4. Step 4: Simplify right side
    8,284.66x = 60,562,323.99
  5. Step 5: Solve for x
    x = 60,562,323.99/8,284.66
  6. Step 6: Final answer
    x = 7,310.18

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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.