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Finding the Fourth Proportional to 8,434.14, 12,653.64 and 3,502.86

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Solution

The fourth proportional to 8,434.14, 12,653.64 and 3,502.86 is: 5,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.14 : 12,653.64 = 3,502.86 : x
  2. Step 2: Convert to fraction form
    8,434.14/12,653.64 = 3,502.86/x
  3. Step 3: Cross multiply
    8,434.14x = 12,653.64 × 3,502.86
  4. Step 4: Simplify right side
    8,434.14x = 44,323,929.41
  5. Step 5: Solve for x
    x = 44,323,929.41/8,434.14
  6. Step 6: Final answer
    x = 5,255.30

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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.