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Finding the Fourth Proportional to 8,624.81, 12,937.22 and 2,468.81

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Solution

The fourth proportional to 8,624.81, 12,937.22 and 2,468.81 is: 3,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.81 : 12,937.22 = 2,468.81 : x
  2. Step 2: Convert to fraction form
    8,624.81/12,937.22 = 2,468.81/x
  3. Step 3: Cross multiply
    8,624.81x = 12,937.22 × 2,468.81
  4. Step 4: Simplify right side
    8,624.81x = 31,939,567.37
  5. Step 5: Solve for x
    x = 31,939,567.37/8,624.81
  6. Step 6: Final answer
    x = 3,703.22

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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.