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Finding the Fourth Proportional to 8,013.66, 11,059.47 and 4,657.56

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Solution

The fourth proportional to 8,013.66, 11,059.47 and 4,657.56 is: 6,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.66 : 11,059.47 = 4,657.56 : x
  2. Step 2: Convert to fraction form
    8,013.66/11,059.47 = 4,657.56/x
  3. Step 3: Cross multiply
    8,013.66x = 11,059.47 × 4,657.56
  4. Step 4: Simplify right side
    8,013.66x = 51,510,145.09
  5. Step 5: Solve for x
    x = 51,510,145.09/8,013.66
  6. Step 6: Final answer
    x = 6,427.79

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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.