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Finding the Fourth Proportional to 8,107.50, 11,187.14 and 4,570.64

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Solution

The fourth proportional to 8,107.50, 11,187.14 and 4,570.64 is: 6,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.50 : 11,187.14 = 4,570.64 : x
  2. Step 2: Convert to fraction form
    8,107.50/11,187.14 = 4,570.64/x
  3. Step 3: Cross multiply
    8,107.50x = 11,187.14 × 4,570.64
  4. Step 4: Simplify right side
    8,107.50x = 51,132,389.57
  5. Step 5: Solve for x
    x = 51,132,389.57/8,107.50
  6. Step 6: Final answer
    x = 6,306.80

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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.