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Finding the Fourth Proportional to 8,551.86, 12,819 and 5,434.16

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Solution

The fourth proportional to 8,551.86, 12,819 and 5,434.16 is: 8,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,551.86 : 12,819 = 5,434.16 : x
  2. Step 2: Convert to fraction form
    8,551.86/12,819 = 5,434.16/x
  3. Step 3: Cross multiply
    8,551.86x = 12,819 × 5,434.16
  4. Step 4: Simplify right side
    8,551.86x = 69,660,497.04
  5. Step 5: Solve for x
    x = 69,660,497.04/8,551.86
  6. Step 6: Final answer
    x = 8,145.65

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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.