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Finding the Fourth Proportional to 11,909.61, 16,435.06 and 6,604.30

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Solution

The fourth proportional to 11,909.61, 16,435.06 and 6,604.30 is: 9,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.61 : 16,435.06 = 6,604.30 : x
  2. Step 2: Convert to fraction form
    11,909.61/16,435.06 = 6,604.30/x
  3. Step 3: Cross multiply
    11,909.61x = 16,435.06 × 6,604.30
  4. Step 4: Simplify right side
    11,909.61x = 108,542,066.76
  5. Step 5: Solve for x
    x = 108,542,066.76/11,909.61
  6. Step 6: Final answer
    x = 9,113.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.