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Finding the Fourth Proportional to 11,875.68, 17,828.10 and 6,947.64

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Solution

The fourth proportional to 11,875.68, 17,828.10 and 6,947.64 is: 10,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.68 : 17,828.10 = 6,947.64 : x
  2. Step 2: Convert to fraction form
    11,875.68/17,828.10 = 6,947.64/x
  3. Step 3: Cross multiply
    11,875.68x = 17,828.10 × 6,947.64
  4. Step 4: Simplify right side
    11,875.68x = 123,863,220.68
  5. Step 5: Solve for x
    x = 123,863,220.68/11,875.68
  6. Step 6: Final answer
    x = 10,429.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.