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Finding the Fourth Proportional to 8,861.08, 13,265.86 and 5,152

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Solution

The fourth proportional to 8,861.08, 13,265.86 and 5,152 is: 7,713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,861.08 : 13,265.86 = 5,152 : x
  2. Step 2: Convert to fraction form
    8,861.08/13,265.86 = 5,152/x
  3. Step 3: Cross multiply
    8,861.08x = 13,265.86 × 5,152
  4. Step 4: Simplify right side
    8,861.08x = 68,345,710.72
  5. Step 5: Solve for x
    x = 68,345,710.72/8,861.08
  6. Step 6: Final answer
    x = 7,713.02

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Why These Related Problems?

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