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Finding the Fourth Proportional to 10,351.59, 15,527.64 and 3,777.78

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Solution

The fourth proportional to 10,351.59, 15,527.64 and 3,777.78 is: 5,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.59 : 15,527.64 = 3,777.78 : x
  2. Step 2: Convert to fraction form
    10,351.59/15,527.64 = 3,777.78/x
  3. Step 3: Cross multiply
    10,351.59x = 15,527.64 × 3,777.78
  4. Step 4: Simplify right side
    10,351.59x = 58,660,007.84
  5. Step 5: Solve for x
    x = 58,660,007.84/10,351.59
  6. Step 6: Final answer
    x = 5,666.76

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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.