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Finding the Fourth Proportional to 10,179.65, 15,269.94 and 2,783.95

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Solution

The fourth proportional to 10,179.65, 15,269.94 and 2,783.95 is: 4,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.65 : 15,269.94 = 2,783.95 : x
  2. Step 2: Convert to fraction form
    10,179.65/15,269.94 = 2,783.95/x
  3. Step 3: Cross multiply
    10,179.65x = 15,269.94 × 2,783.95
  4. Step 4: Simplify right side
    10,179.65x = 42,510,711.29
  5. Step 5: Solve for x
    x = 42,510,711.29/10,179.65
  6. Step 6: Final answer
    x = 4,176.05

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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.