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Finding the Fourth Proportional to 8,203.14, 11,320.31 and 4,666.35

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Solution

The fourth proportional to 8,203.14, 11,320.31 and 4,666.35 is: 6,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.14 : 11,320.31 = 4,666.35 : x
  2. Step 2: Convert to fraction form
    8,203.14/11,320.31 = 4,666.35/x
  3. Step 3: Cross multiply
    8,203.14x = 11,320.31 × 4,666.35
  4. Step 4: Simplify right side
    8,203.14x = 52,824,528.57
  5. Step 5: Solve for x
    x = 52,824,528.57/8,203.14
  6. Step 6: Final answer
    x = 6,439.55

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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.