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Finding the Fourth Proportional to 11,642.96, 16,064.78 and 6,606.78

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Solution

The fourth proportional to 11,642.96, 16,064.78 and 6,606.78 is: 9,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.96 : 16,064.78 = 6,606.78 : x
  2. Step 2: Convert to fraction form
    11,642.96/16,064.78 = 6,606.78/x
  3. Step 3: Cross multiply
    11,642.96x = 16,064.78 × 6,606.78
  4. Step 4: Simplify right side
    11,642.96x = 106,136,434.17
  5. Step 5: Solve for x
    x = 106,136,434.17/11,642.96
  6. Step 6: Final answer
    x = 9,115.94

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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.