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Finding the Fourth Proportional to 8,489.56, 11,715.69 and 4,712.80

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Solution

The fourth proportional to 8,489.56, 11,715.69 and 4,712.80 is: 6,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.56 : 11,715.69 = 4,712.80 : x
  2. Step 2: Convert to fraction form
    8,489.56/11,715.69 = 4,712.80/x
  3. Step 3: Cross multiply
    8,489.56x = 11,715.69 × 4,712.80
  4. Step 4: Simplify right side
    8,489.56x = 55,213,703.83
  5. Step 5: Solve for x
    x = 55,213,703.83/8,489.56
  6. Step 6: Final answer
    x = 6,503.72

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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.