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Finding the Fourth Proportional to 7,069.35, 10,601.57 and 3,558

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Solution

The fourth proportional to 7,069.35, 10,601.57 and 3,558 is: 5,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.35 : 10,601.57 = 3,558 : x
  2. Step 2: Convert to fraction form
    7,069.35/10,601.57 = 3,558/x
  3. Step 3: Cross multiply
    7,069.35x = 10,601.57 × 3,558
  4. Step 4: Simplify right side
    7,069.35x = 37,720,368.27
  5. Step 5: Solve for x
    x = 37,720,368.27/7,069.35
  6. Step 6: Final answer
    x = 5,335.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.