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Finding the Fourth Proportional to 10,823.61, 16,210.81 and 8,468.94

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Solution

The fourth proportional to 10,823.61, 16,210.81 and 8,468.94 is: 12,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.61 : 16,210.81 = 8,468.94 : x
  2. Step 2: Convert to fraction form
    10,823.61/16,210.81 = 8,468.94/x
  3. Step 3: Cross multiply
    10,823.61x = 16,210.81 × 8,468.94
  4. Step 4: Simplify right side
    10,823.61x = 137,288,377.24
  5. Step 5: Solve for x
    x = 137,288,377.24/10,823.61
  6. Step 6: Final answer
    x = 12,684.16

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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.