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Finding the Fourth Proportional to 10,127.72, 13,975.02 and 5,651.72

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Solution

The fourth proportional to 10,127.72, 13,975.02 and 5,651.72 is: 7,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127.72 : 13,975.02 = 5,651.72 : x
  2. Step 2: Convert to fraction form
    10,127.72/13,975.02 = 5,651.72/x
  3. Step 3: Cross multiply
    10,127.72x = 13,975.02 × 5,651.72
  4. Step 4: Simplify right side
    10,127.72x = 78,982,900.03
  5. Step 5: Solve for x
    x = 78,982,900.03/10,127.72
  6. Step 6: Final answer
    x = 7,798.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.