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Finding the Fourth Proportional to 11,853.42, 16,356.28 and 6,548.28

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Solution

The fourth proportional to 11,853.42, 16,356.28 and 6,548.28 is: 9,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.42 : 16,356.28 = 6,548.28 : x
  2. Step 2: Convert to fraction form
    11,853.42/16,356.28 = 6,548.28/x
  3. Step 3: Cross multiply
    11,853.42x = 16,356.28 × 6,548.28
  4. Step 4: Simplify right side
    11,853.42x = 107,105,435.77
  5. Step 5: Solve for x
    x = 107,105,435.77/11,853.42
  6. Step 6: Final answer
    x = 9,035.82

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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.