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Finding the Fourth Proportional to 8,857.35, 13,206.59 and 8,537.20

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Solution

The fourth proportional to 8,857.35, 13,206.59 and 8,537.20 is: 12,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.35 : 13,206.59 = 8,537.20 : x
  2. Step 2: Convert to fraction form
    8,857.35/13,206.59 = 8,537.20/x
  3. Step 3: Cross multiply
    8,857.35x = 13,206.59 × 8,537.20
  4. Step 4: Simplify right side
    8,857.35x = 112,747,304.48
  5. Step 5: Solve for x
    x = 112,747,304.48/8,857.35
  6. Step 6: Final answer
    x = 12,729.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.