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Finding the Fourth Proportional to 8,569.51, 11,822.44 and 5,584.25

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Solution

The fourth proportional to 8,569.51, 11,822.44 and 5,584.25 is: 7,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.51 : 11,822.44 = 5,584.25 : x
  2. Step 2: Convert to fraction form
    8,569.51/11,822.44 = 5,584.25/x
  3. Step 3: Cross multiply
    8,569.51x = 11,822.44 × 5,584.25
  4. Step 4: Simplify right side
    8,569.51x = 66,019,460.57
  5. Step 5: Solve for x
    x = 66,019,460.57/8,569.51
  6. Step 6: Final answer
    x = 7,703.99

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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.