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Finding the Fourth Proportional to 10,127.66, 15,195.12 and 7,228.66

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Solution

The fourth proportional to 10,127.66, 15,195.12 and 7,228.66 is: 10,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127.66 : 15,195.12 = 7,228.66 : x
  2. Step 2: Convert to fraction form
    10,127.66/15,195.12 = 7,228.66/x
  3. Step 3: Cross multiply
    10,127.66x = 15,195.12 × 7,228.66
  4. Step 4: Simplify right side
    10,127.66x = 109,840,356.14
  5. Step 5: Solve for x
    x = 109,840,356.14/10,127.66
  6. Step 6: Final answer
    x = 10,845.58

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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.