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Finding the Fourth Proportional to 11,681.68, 16,119.30 and 6,646.54

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Solution

The fourth proportional to 11,681.68, 16,119.30 and 6,646.54 is: 9,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.68 : 16,119.30 = 6,646.54 : x
  2. Step 2: Convert to fraction form
    11,681.68/16,119.30 = 6,646.54/x
  3. Step 3: Cross multiply
    11,681.68x = 16,119.30 × 6,646.54
  4. Step 4: Simplify right side
    11,681.68x = 107,137,572.22
  5. Step 5: Solve for x
    x = 107,137,572.22/11,681.68
  6. Step 6: Final answer
    x = 9,171.42

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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.