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Finding the Fourth Proportional to 12,056.14, 16,637.61 and 6,751

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Solution

The fourth proportional to 12,056.14, 16,637.61 and 6,751 is: 9,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.14 : 16,637.61 = 6,751 : x
  2. Step 2: Convert to fraction form
    12,056.14/16,637.61 = 6,751/x
  3. Step 3: Cross multiply
    12,056.14x = 16,637.61 × 6,751
  4. Step 4: Simplify right side
    12,056.14x = 112,320,505.11
  5. Step 5: Solve for x
    x = 112,320,505.11/12,056.14
  6. Step 6: Final answer
    x = 9,316.46

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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.