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Finding the Fourth Proportional to 8,203.07, 11,319.82 and 4,666.21

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Solution

The fourth proportional to 8,203.07, 11,319.82 and 4,666.21 is: 6,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.07 : 11,319.82 = 4,666.21 : x
  2. Step 2: Convert to fraction form
    8,203.07/11,319.82 = 4,666.21/x
  3. Step 3: Cross multiply
    8,203.07x = 11,319.82 × 4,666.21
  4. Step 4: Simplify right side
    8,203.07x = 52,820,617.32
  5. Step 5: Solve for x
    x = 52,820,617.32/8,203.07
  6. Step 6: Final answer
    x = 6,439.13

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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.