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Finding the Fourth Proportional to 11,885.64, 16,396.74 and 7,695.24

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Solution

The fourth proportional to 11,885.64, 16,396.74 and 7,695.24 is: 10,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.64 : 16,396.74 = 7,695.24 : x
  2. Step 2: Convert to fraction form
    11,885.64/16,396.74 = 7,695.24/x
  3. Step 3: Cross multiply
    11,885.64x = 16,396.74 × 7,695.24
  4. Step 4: Simplify right side
    11,885.64x = 126,176,849.52
  5. Step 5: Solve for x
    x = 126,176,849.52/11,885.64
  6. Step 6: Final answer
    x = 10,615.91

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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.