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Finding the Fourth Proportional to 10,897.88, 16,349.24 and 3,972.38

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Solution

The fourth proportional to 10,897.88, 16,349.24 and 3,972.38 is: 5,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.88 : 16,349.24 = 3,972.38 : x
  2. Step 2: Convert to fraction form
    10,897.88/16,349.24 = 3,972.38/x
  3. Step 3: Cross multiply
    10,897.88x = 16,349.24 × 3,972.38
  4. Step 4: Simplify right side
    10,897.88x = 64,945,322.18
  5. Step 5: Solve for x
    x = 64,945,322.18/10,897.88
  6. Step 6: Final answer
    x = 5,959.45

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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.