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Finding the Fourth Proportional to 10,909.66, 16,363.58 and 4,334.08

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Solution

The fourth proportional to 10,909.66, 16,363.58 and 4,334.08 is: 6,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.66 : 16,363.58 = 4,334.08 : x
  2. Step 2: Convert to fraction form
    10,909.66/16,363.58 = 4,334.08/x
  3. Step 3: Cross multiply
    10,909.66x = 16,363.58 × 4,334.08
  4. Step 4: Simplify right side
    10,909.66x = 70,921,064.81
  5. Step 5: Solve for x
    x = 70,921,064.81/10,909.66
  6. Step 6: Final answer
    x = 6,500.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.