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Finding the Fourth Proportional to 8,566.32, 11,821.28 and 5,209.22

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Solution

The fourth proportional to 8,566.32, 11,821.28 and 5,209.22 is: 7,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.32 : 11,821.28 = 5,209.22 : x
  2. Step 2: Convert to fraction form
    8,566.32/11,821.28 = 5,209.22/x
  3. Step 3: Cross multiply
    8,566.32x = 11,821.28 × 5,209.22
  4. Step 4: Simplify right side
    8,566.32x = 61,579,648.20
  5. Step 5: Solve for x
    x = 61,579,648.20/8,566.32
  6. Step 6: Final answer
    x = 7,188.58

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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.