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Finding the Fourth Proportional to 11,963.28, 16,509.59 and 6,657.99

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Solution

The fourth proportional to 11,963.28, 16,509.59 and 6,657.99 is: 9,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.28 : 16,509.59 = 6,657.99 : x
  2. Step 2: Convert to fraction form
    11,963.28/16,509.59 = 6,657.99/x
  3. Step 3: Cross multiply
    11,963.28x = 16,509.59 × 6,657.99
  4. Step 4: Simplify right side
    11,963.28x = 109,920,685.12
  5. Step 5: Solve for x
    x = 109,920,685.12/11,963.28
  6. Step 6: Final answer
    x = 9,188.17

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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.