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Finding the Fourth Proportional to 11,681.82, 16,115.02 and 7,701.48

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Solution

The fourth proportional to 11,681.82, 16,115.02 and 7,701.48 is: 10,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.82 : 16,115.02 = 7,701.48 : x
  2. Step 2: Convert to fraction form
    11,681.82/16,115.02 = 7,701.48/x
  3. Step 3: Cross multiply
    11,681.82x = 16,115.02 × 7,701.48
  4. Step 4: Simplify right side
    11,681.82x = 124,109,484.98
  5. Step 5: Solve for x
    x = 124,109,484.98/11,681.82
  6. Step 6: Final answer
    x = 10,624.16

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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.