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Finding the Fourth Proportional to 27,777.28, 41,666.18 and 7,000.78

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Solution

The fourth proportional to 27,777.28, 41,666.18 and 7,000.78 is: 10,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,777.28 : 41,666.18 = 7,000.78 : x
  2. Step 2: Convert to fraction form
    27,777.28/41,666.18 = 7,000.78/x
  3. Step 3: Cross multiply
    27,777.28x = 41,666.18 × 7,000.78
  4. Step 4: Simplify right side
    27,777.28x = 291,695,759.62
  5. Step 5: Solve for x
    x = 291,695,759.62/27,777.28
  6. Step 6: Final answer
    x = 10,501.24

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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.