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Finding the Fourth Proportional to 7,431.71, 11,147.57 and 1,885.47

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Solution

The fourth proportional to 7,431.71, 11,147.57 and 1,885.47 is: 2,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.71 : 11,147.57 = 1,885.47 : x
  2. Step 2: Convert to fraction form
    7,431.71/11,147.57 = 1,885.47/x
  3. Step 3: Cross multiply
    7,431.71x = 11,147.57 × 1,885.47
  4. Step 4: Simplify right side
    7,431.71x = 21,018,399.38
  5. Step 5: Solve for x
    x = 21,018,399.38/7,431.71
  6. Step 6: Final answer
    x = 2,828.21

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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.