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Finding the Fourth Proportional to 11,909.83, 16,434.38 and 6,875.68

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Solution

The fourth proportional to 11,909.83, 16,434.38 and 6,875.68 is: 9,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.83 : 16,434.38 = 6,875.68 : x
  2. Step 2: Convert to fraction form
    11,909.83/16,434.38 = 6,875.68/x
  3. Step 3: Cross multiply
    11,909.83x = 16,434.38 × 6,875.68
  4. Step 4: Simplify right side
    11,909.83x = 112,997,455.71
  5. Step 5: Solve for x
    x = 112,997,455.71/11,909.83
  6. Step 6: Final answer
    x = 9,487.75

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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.