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Finding the Fourth Proportional to 10,517.00, 15,772.77 and 3,119.72

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Solution

The fourth proportional to 10,517.00, 15,772.77 and 3,119.72 is: 4,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.00 : 15,772.77 = 3,119.72 : x
  2. Step 2: Convert to fraction form
    10,517.00/15,772.77 = 3,119.72/x
  3. Step 3: Cross multiply
    10,517.00x = 15,772.77 × 3,119.72
  4. Step 4: Simplify right side
    10,517.00x = 49,206,547.16
  5. Step 5: Solve for x
    x = 49,206,547.16/10,517.00
  6. Step 6: Final answer
    x = 4,678.76

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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.