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Finding the Fourth Proportional to 8,569.76, 11,822.78 and 5,584.50

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Solution

The fourth proportional to 8,569.76, 11,822.78 and 5,584.50 is: 7,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.76 : 11,822.78 = 5,584.50 : x
  2. Step 2: Convert to fraction form
    8,569.76/11,822.78 = 5,584.50/x
  3. Step 3: Cross multiply
    8,569.76x = 11,822.78 × 5,584.50
  4. Step 4: Simplify right side
    8,569.76x = 66,024,328.87
  5. Step 5: Solve for x
    x = 66,024,328.87/8,569.76
  6. Step 6: Final answer
    x = 7,704.34

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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.