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Finding the Fourth Proportional to 8,421.98, 11,614.93 and 5,063.58

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Solution

The fourth proportional to 8,421.98, 11,614.93 and 5,063.58 is: 6,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.98 : 11,614.93 = 5,063.58 : x
  2. Step 2: Convert to fraction form
    8,421.98/11,614.93 = 5,063.58/x
  3. Step 3: Cross multiply
    8,421.98x = 11,614.93 × 5,063.58
  4. Step 4: Simplify right side
    8,421.98x = 58,813,114.59
  5. Step 5: Solve for x
    x = 58,813,114.59/8,421.98
  6. Step 6: Final answer
    x = 6,983.29

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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.