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Finding the Fourth Proportional to 11,909.64, 16,435.28 and 6,604.32

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Solution

The fourth proportional to 11,909.64, 16,435.28 and 6,604.32 is: 9,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.64 : 16,435.28 = 6,604.32 : x
  2. Step 2: Convert to fraction form
    11,909.64/16,435.28 = 6,604.32/x
  3. Step 3: Cross multiply
    11,909.64x = 16,435.28 × 6,604.32
  4. Step 4: Simplify right side
    11,909.64x = 108,543,848.41
  5. Step 5: Solve for x
    x = 108,543,848.41/11,909.64
  6. Step 6: Final answer
    x = 9,113.95

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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.