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Finding the Fourth Proportional to 11,673.84, 16,109.34 and 6,637.92

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Solution

The fourth proportional to 11,673.84, 16,109.34 and 6,637.92 is: 9,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.84 : 16,109.34 = 6,637.92 : x
  2. Step 2: Convert to fraction form
    11,673.84/16,109.34 = 6,637.92/x
  3. Step 3: Cross multiply
    11,673.84x = 16,109.34 × 6,637.92
  4. Step 4: Simplify right side
    11,673.84x = 106,932,510.17
  5. Step 5: Solve for x
    x = 106,932,510.17/11,673.84
  6. Step 6: Final answer
    x = 9,160.01

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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.