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Finding the Fourth Proportional to 8,344.77, 11,519.52 and 5,323.93

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Solution

The fourth proportional to 8,344.77, 11,519.52 and 5,323.93 is: 7,349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.77 : 11,519.52 = 5,323.93 : x
  2. Step 2: Convert to fraction form
    8,344.77/11,519.52 = 5,323.93/x
  3. Step 3: Cross multiply
    8,344.77x = 11,519.52 × 5,323.93
  4. Step 4: Simplify right side
    8,344.77x = 61,329,069.35
  5. Step 5: Solve for x
    x = 61,329,069.35/8,344.77
  6. Step 6: Final answer
    x = 7,349.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.