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Finding the Fourth Proportional to 8,235.05, 11,366.05 and 5,583.31

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Solution

The fourth proportional to 8,235.05, 11,366.05 and 5,583.31 is: 7,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.05 : 11,366.05 = 5,583.31 : x
  2. Step 2: Convert to fraction form
    8,235.05/11,366.05 = 5,583.31/x
  3. Step 3: Cross multiply
    8,235.05x = 11,366.05 × 5,583.31
  4. Step 4: Simplify right side
    8,235.05x = 63,460,196.95
  5. Step 5: Solve for x
    x = 63,460,196.95/8,235.05
  6. Step 6: Final answer
    x = 7,706.11

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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.