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Finding the Fourth Proportional to 11,900.57, 16,422.81 and 7,184.89

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Solution

The fourth proportional to 11,900.57, 16,422.81 and 7,184.89 is: 9,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.57 : 16,422.81 = 7,184.89 : x
  2. Step 2: Convert to fraction form
    11,900.57/16,422.81 = 7,184.89/x
  3. Step 3: Cross multiply
    11,900.57x = 16,422.81 × 7,184.89
  4. Step 4: Simplify right side
    11,900.57x = 117,996,001.23
  5. Step 5: Solve for x
    x = 117,996,001.23/11,900.57
  6. Step 6: Final answer
    x = 9,915.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.