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Finding the Fourth Proportional to 8,212.80, 11,335 and 4,677.16

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Solution

The fourth proportional to 8,212.80, 11,335 and 4,677.16 is: 6,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.80 : 11,335 = 4,677.16 : x
  2. Step 2: Convert to fraction form
    8,212.80/11,335 = 4,677.16/x
  3. Step 3: Cross multiply
    8,212.80x = 11,335 × 4,677.16
  4. Step 4: Simplify right side
    8,212.80x = 53,015,608.60
  5. Step 5: Solve for x
    x = 53,015,608.60/8,212.80
  6. Step 6: Final answer
    x = 6,455.24

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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.