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Finding the Fourth Proportional to 10,650.04, 15,972.86 and 2,857

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Solution

The fourth proportional to 10,650.04, 15,972.86 and 2,857 is: 4,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.04 : 15,972.86 = 2,857 : x
  2. Step 2: Convert to fraction form
    10,650.04/15,972.86 = 2,857/x
  3. Step 3: Cross multiply
    10,650.04x = 15,972.86 × 2,857
  4. Step 4: Simplify right side
    10,650.04x = 45,634,461.02
  5. Step 5: Solve for x
    x = 45,634,461.02/10,650.04
  6. Step 6: Final answer
    x = 4,284.91

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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.