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Finding the Fourth Proportional to 10,066.75, 15,083.67 and 5,129.60

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Solution

The fourth proportional to 10,066.75, 15,083.67 and 5,129.60 is: 7,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.75 : 15,083.67 = 5,129.60 : x
  2. Step 2: Convert to fraction form
    10,066.75/15,083.67 = 5,129.60/x
  3. Step 3: Cross multiply
    10,066.75x = 15,083.67 × 5,129.60
  4. Step 4: Simplify right side
    10,066.75x = 77,373,108.60
  5. Step 5: Solve for x
    x = 77,373,108.60/10,066.75
  6. Step 6: Final answer
    x = 7,686.01

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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.