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Finding the Fourth Proportional to 10,083.66, 15,114.29 and 7,610.46

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Solution

The fourth proportional to 10,083.66, 15,114.29 and 7,610.46 is: 11,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.66 : 15,114.29 = 7,610.46 : x
  2. Step 2: Convert to fraction form
    10,083.66/15,114.29 = 7,610.46/x
  3. Step 3: Cross multiply
    10,083.66x = 15,114.29 × 7,610.46
  4. Step 4: Simplify right side
    10,083.66x = 115,026,661.42
  5. Step 5: Solve for x
    x = 115,026,661.42/10,083.66
  6. Step 6: Final answer
    x = 11,407.23

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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.