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Finding the Fourth Proportional to 7,814.88, 11,722.93 and 5,759.10

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Solution

The fourth proportional to 7,814.88, 11,722.93 and 5,759.10 is: 8,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.88 : 11,722.93 = 5,759.10 : x
  2. Step 2: Convert to fraction form
    7,814.88/11,722.93 = 5,759.10/x
  3. Step 3: Cross multiply
    7,814.88x = 11,722.93 × 5,759.10
  4. Step 4: Simplify right side
    7,814.88x = 67,513,511.77
  5. Step 5: Solve for x
    x = 67,513,511.77/7,814.88
  6. Step 6: Final answer
    x = 8,639.10

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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.