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Finding the Fourth Proportional to 11,931.88, 16,464.73 and 6,897.73

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Solution

The fourth proportional to 11,931.88, 16,464.73 and 6,897.73 is: 9,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.88 : 16,464.73 = 6,897.73 : x
  2. Step 2: Convert to fraction form
    11,931.88/16,464.73 = 6,897.73/x
  3. Step 3: Cross multiply
    11,931.88x = 16,464.73 × 6,897.73
  4. Step 4: Simplify right side
    11,931.88x = 113,569,262.06
  5. Step 5: Solve for x
    x = 113,569,262.06/11,931.88
  6. Step 6: Final answer
    x = 9,518.14

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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.