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Finding the Fourth Proportional to 8,034.56, 11,087.36 and 4,677.46

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Solution

The fourth proportional to 8,034.56, 11,087.36 and 4,677.46 is: 6,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.56 : 11,087.36 = 4,677.46 : x
  2. Step 2: Convert to fraction form
    8,034.56/11,087.36 = 4,677.46/x
  3. Step 3: Cross multiply
    8,034.56x = 11,087.36 × 4,677.46
  4. Step 4: Simplify right side
    8,034.56x = 51,860,682.91
  5. Step 5: Solve for x
    x = 51,860,682.91/8,034.56
  6. Step 6: Final answer
    x = 6,454.70

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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.