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Finding the Fourth Proportional to 8,569.22, 11,825.68 and 5,212.17

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Solution

The fourth proportional to 8,569.22, 11,825.68 and 5,212.17 is: 7,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.22 : 11,825.68 = 5,212.17 : x
  2. Step 2: Convert to fraction form
    8,569.22/11,825.68 = 5,212.17/x
  3. Step 3: Cross multiply
    8,569.22x = 11,825.68 × 5,212.17
  4. Step 4: Simplify right side
    8,569.22x = 61,637,441.50
  5. Step 5: Solve for x
    x = 61,637,441.50/8,569.22
  6. Step 6: Final answer
    x = 7,192.89

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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.