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Finding the Fourth Proportional to 5,256.11, 7,885.14 and 1,507.74

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Solution

The fourth proportional to 5,256.11, 7,885.14 and 1,507.74 is: 2,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.11 : 7,885.14 = 1,507.74 : x
  2. Step 2: Convert to fraction form
    5,256.11/7,885.14 = 1,507.74/x
  3. Step 3: Cross multiply
    5,256.11x = 7,885.14 × 1,507.74
  4. Step 4: Simplify right side
    5,256.11x = 11,888,694.02
  5. Step 5: Solve for x
    x = 11,888,694.02/5,256.11
  6. Step 6: Final answer
    x = 2,261.88

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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.