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Finding the Fourth Proportional to 8,034.42, 11,087.74 and 4,497.60

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Solution

The fourth proportional to 8,034.42, 11,087.74 and 4,497.60 is: 6,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.42 : 11,087.74 = 4,497.60 : x
  2. Step 2: Convert to fraction form
    8,034.42/11,087.74 = 4,497.60/x
  3. Step 3: Cross multiply
    8,034.42x = 11,087.74 × 4,497.60
  4. Step 4: Simplify right side
    8,034.42x = 49,868,219.42
  5. Step 5: Solve for x
    x = 49,868,219.42/8,034.42
  6. Step 6: Final answer
    x = 6,206.82

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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.