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Finding the Fourth Proportional to 11,685.71, 17,518.15 and 4,288.46

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Solution

The fourth proportional to 11,685.71, 17,518.15 and 4,288.46 is: 6,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.71 : 17,518.15 = 4,288.46 : x
  2. Step 2: Convert to fraction form
    11,685.71/17,518.15 = 4,288.46/x
  3. Step 3: Cross multiply
    11,685.71x = 17,518.15 × 4,288.46
  4. Step 4: Simplify right side
    11,685.71x = 75,125,787.24
  5. Step 5: Solve for x
    x = 75,125,787.24/11,685.71
  6. Step 6: Final answer
    x = 6,428.86

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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.