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Finding the Fourth Proportional to 11,663.28, 16,097.04 and 6,950.16

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Solution

The fourth proportional to 11,663.28, 16,097.04 and 6,950.16 is: 9,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.28 : 16,097.04 = 6,950.16 : x
  2. Step 2: Convert to fraction form
    11,663.28/16,097.04 = 6,950.16/x
  3. Step 3: Cross multiply
    11,663.28x = 16,097.04 × 6,950.16
  4. Step 4: Simplify right side
    11,663.28x = 111,877,003.53
  5. Step 5: Solve for x
    x = 111,877,003.53/11,663.28
  6. Step 6: Final answer
    x = 9,592.24

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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.