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Finding the Fourth Proportional to 11,642.71, 16,066.46 and 6,606.83

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Solution

The fourth proportional to 11,642.71, 16,066.46 and 6,606.83 is: 9,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.71 : 16,066.46 = 6,606.83 : x
  2. Step 2: Convert to fraction form
    11,642.71/16,066.46 = 6,606.83/x
  3. Step 3: Cross multiply
    11,642.71x = 16,066.46 × 6,606.83
  4. Step 4: Simplify right side
    11,642.71x = 106,148,256.56
  5. Step 5: Solve for x
    x = 106,148,256.56/11,642.71
  6. Step 6: Final answer
    x = 9,117.15

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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.