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Finding the Fourth Proportional to 8,263.64, 11,403.24 and 4,678.98

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Solution

The fourth proportional to 8,263.64, 11,403.24 and 4,678.98 is: 6,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.64 : 11,403.24 = 4,678.98 : x
  2. Step 2: Convert to fraction form
    8,263.64/11,403.24 = 4,678.98/x
  3. Step 3: Cross multiply
    8,263.64x = 11,403.24 × 4,678.98
  4. Step 4: Simplify right side
    8,263.64x = 53,355,531.90
  5. Step 5: Solve for x
    x = 53,355,531.90/8,263.64
  6. Step 6: Final answer
    x = 6,456.66

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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.