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Finding the Fourth Proportional to 10,476.54, 15,713.19 and 3,079.62

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Solution

The fourth proportional to 10,476.54, 15,713.19 and 3,079.62 is: 4,618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.54 : 15,713.19 = 3,079.62 : x
  2. Step 2: Convert to fraction form
    10,476.54/15,713.19 = 3,079.62/x
  3. Step 3: Cross multiply
    10,476.54x = 15,713.19 × 3,079.62
  4. Step 4: Simplify right side
    10,476.54x = 48,390,654.19
  5. Step 5: Solve for x
    x = 48,390,654.19/10,476.54
  6. Step 6: Final answer
    x = 4,618.95

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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.