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Finding the Fourth Proportional to 11,672.68, 16,106.94 and 6,637.48

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Solution

The fourth proportional to 11,672.68, 16,106.94 and 6,637.48 is: 9,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.68 : 16,106.94 = 6,637.48 : x
  2. Step 2: Convert to fraction form
    11,672.68/16,106.94 = 6,637.48/x
  3. Step 3: Cross multiply
    11,672.68x = 16,106.94 × 6,637.48
  4. Step 4: Simplify right side
    11,672.68x = 106,909,492.11
  5. Step 5: Solve for x
    x = 106,909,492.11/11,672.68
  6. Step 6: Final answer
    x = 9,158.95

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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.