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Finding the Fourth Proportional to 8,034.60, 11,087.82 and 4,677.60

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Solution

The fourth proportional to 8,034.60, 11,087.82 and 4,677.60 is: 6,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.60 : 11,087.82 = 4,677.60 : x
  2. Step 2: Convert to fraction form
    8,034.60/11,087.82 = 4,677.60/x
  3. Step 3: Cross multiply
    8,034.60x = 11,087.82 × 4,677.60
  4. Step 4: Simplify right side
    8,034.60x = 51,864,386.83
  5. Step 5: Solve for x
    x = 51,864,386.83/8,034.60
  6. Step 6: Final answer
    x = 6,455.13

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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.