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Finding the Fourth Proportional to 8,438.91, 11,645.70 and 4,712.91

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Solution

The fourth proportional to 8,438.91, 11,645.70 and 4,712.91 is: 6,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.91 : 11,645.70 = 4,712.91 : x
  2. Step 2: Convert to fraction form
    8,438.91/11,645.70 = 4,712.91/x
  3. Step 3: Cross multiply
    8,438.91x = 11,645.70 × 4,712.91
  4. Step 4: Simplify right side
    8,438.91x = 54,885,074.64
  5. Step 5: Solve for x
    x = 54,885,074.64/8,438.91
  6. Step 6: Final answer
    x = 6,503.81

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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.