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Finding the Fourth Proportional to 8,537.64, 11,775.65 and 5,661.19

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Solution

The fourth proportional to 8,537.64, 11,775.65 and 5,661.19 is: 7,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.64 : 11,775.65 = 5,661.19 : x
  2. Step 2: Convert to fraction form
    8,537.64/11,775.65 = 5,661.19/x
  3. Step 3: Cross multiply
    8,537.64x = 11,775.65 × 5,661.19
  4. Step 4: Simplify right side
    8,537.64x = 66,664,178.44
  5. Step 5: Solve for x
    x = 66,664,178.44/8,537.64
  6. Step 6: Final answer
    x = 7,808.27

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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.