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Finding the Fourth Proportional to 8,235.27, 12,341.52 and 7,136.91

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Solution

The fourth proportional to 8,235.27, 12,341.52 and 7,136.91 is: 10,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.27 : 12,341.52 = 7,136.91 : x
  2. Step 2: Convert to fraction form
    8,235.27/12,341.52 = 7,136.91/x
  3. Step 3: Cross multiply
    8,235.27x = 12,341.52 × 7,136.91
  4. Step 4: Simplify right side
    8,235.27x = 88,080,317.50
  5. Step 5: Solve for x
    x = 88,080,317.50/8,235.27
  6. Step 6: Final answer
    x = 10,695.50

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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.