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Finding the Fourth Proportional to 8,228.70, 11,355.89 and 4,643.62

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Solution

The fourth proportional to 8,228.70, 11,355.89 and 4,643.62 is: 6,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.70 : 11,355.89 = 4,643.62 : x
  2. Step 2: Convert to fraction form
    8,228.70/11,355.89 = 4,643.62/x
  3. Step 3: Cross multiply
    8,228.70x = 11,355.89 × 4,643.62
  4. Step 4: Simplify right side
    8,228.70x = 52,732,386.31
  5. Step 5: Solve for x
    x = 52,732,386.31/8,228.70
  6. Step 6: Final answer
    x = 6,408.35

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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.