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Finding the Fourth Proportional to 8,569.01, 11,821.74 and 5,583.75

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Solution

The fourth proportional to 8,569.01, 11,821.74 and 5,583.75 is: 7,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.01 : 11,821.74 = 5,583.75 : x
  2. Step 2: Convert to fraction form
    8,569.01/11,821.74 = 5,583.75/x
  3. Step 3: Cross multiply
    8,569.01x = 11,821.74 × 5,583.75
  4. Step 4: Simplify right side
    8,569.01x = 66,009,640.73
  5. Step 5: Solve for x
    x = 66,009,640.73/8,569.01
  6. Step 6: Final answer
    x = 7,703.30

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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.