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Finding the Fourth Proportional to 8,696.10, 13,045.17 and 2,770.91

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Solution

The fourth proportional to 8,696.10, 13,045.17 and 2,770.91 is: 4,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.10 : 13,045.17 = 2,770.91 : x
  2. Step 2: Convert to fraction form
    8,696.10/13,045.17 = 2,770.91/x
  3. Step 3: Cross multiply
    8,696.10x = 13,045.17 × 2,770.91
  4. Step 4: Simplify right side
    8,696.10x = 36,146,992.00
  5. Step 5: Solve for x
    x = 36,146,992.00/8,696.10
  6. Step 6: Final answer
    x = 4,156.69

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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.