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Finding the Fourth Proportional to 11,953.16, 16,496.16 and 6,648.92

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Solution

The fourth proportional to 11,953.16, 16,496.16 and 6,648.92 is: 9,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.16 : 16,496.16 = 6,648.92 : x
  2. Step 2: Convert to fraction form
    11,953.16/16,496.16 = 6,648.92/x
  3. Step 3: Cross multiply
    11,953.16x = 16,496.16 × 6,648.92
  4. Step 4: Simplify right side
    11,953.16x = 109,681,648.15
  5. Step 5: Solve for x
    x = 109,681,648.15/11,953.16
  6. Step 6: Final answer
    x = 9,175.95

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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.