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Finding the Fourth Proportional to 8,403.56, 11,596.80 and 4,677.56

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Solution

The fourth proportional to 8,403.56, 11,596.80 and 4,677.56 is: 6,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.56 : 11,596.80 = 4,677.56 : x
  2. Step 2: Convert to fraction form
    8,403.56/11,596.80 = 4,677.56/x
  3. Step 3: Cross multiply
    8,403.56x = 11,596.80 × 4,677.56
  4. Step 4: Simplify right side
    8,403.56x = 54,244,727.81
  5. Step 5: Solve for x
    x = 54,244,727.81/8,403.56
  6. Step 6: Final answer
    x = 6,454.97

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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.