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Finding the Fourth Proportional to 10,083.06, 15,127.65 and 4,076.06

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Solution

The fourth proportional to 10,083.06, 15,127.65 and 4,076.06 is: 6,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.06 : 15,127.65 = 4,076.06 : x
  2. Step 2: Convert to fraction form
    10,083.06/15,127.65 = 4,076.06/x
  3. Step 3: Cross multiply
    10,083.06x = 15,127.65 × 4,076.06
  4. Step 4: Simplify right side
    10,083.06x = 61,661,133.42
  5. Step 5: Solve for x
    x = 61,661,133.42/10,083.06
  6. Step 6: Final answer
    x = 6,115.32

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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.