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Finding the Fourth Proportional to 11,005.34, 16,479.82 and 6,069.50

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Solution

The fourth proportional to 11,005.34, 16,479.82 and 6,069.50 is: 9,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.34 : 16,479.82 = 6,069.50 : x
  2. Step 2: Convert to fraction form
    11,005.34/16,479.82 = 6,069.50/x
  3. Step 3: Cross multiply
    11,005.34x = 16,479.82 × 6,069.50
  4. Step 4: Simplify right side
    11,005.34x = 100,024,254.48
  5. Step 5: Solve for x
    x = 100,024,254.48/11,005.34
  6. Step 6: Final answer
    x = 9,088.71

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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.