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Finding the Fourth Proportional to 10,012.64, 15,024.75 and 3,777.02

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Solution

The fourth proportional to 10,012.64, 15,024.75 and 3,777.02 is: 5,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.64 : 15,024.75 = 3,777.02 : x
  2. Step 2: Convert to fraction form
    10,012.64/15,024.75 = 3,777.02/x
  3. Step 3: Cross multiply
    10,012.64x = 15,024.75 × 3,777.02
  4. Step 4: Simplify right side
    10,012.64x = 56,748,729.83
  5. Step 5: Solve for x
    x = 56,748,729.83/10,012.64
  6. Step 6: Final answer
    x = 5,667.71

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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.