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Finding the Fourth Proportional to 8,507.74, 12,754.81 and 4,288.72

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Solution

The fourth proportional to 8,507.74, 12,754.81 and 4,288.72 is: 6,429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.74 : 12,754.81 = 4,288.72 : x
  2. Step 2: Convert to fraction form
    8,507.74/12,754.81 = 4,288.72/x
  3. Step 3: Cross multiply
    8,507.74x = 12,754.81 × 4,288.72
  4. Step 4: Simplify right side
    8,507.74x = 54,701,808.74
  5. Step 5: Solve for x
    x = 54,701,808.74/8,507.74
  6. Step 6: Final answer
    x = 6,429.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.