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Finding the Fourth Proportional to 10,853.64, 16,267.02 and 6,406.79

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Solution

The fourth proportional to 10,853.64, 16,267.02 and 6,406.79 is: 9,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.64 : 16,267.02 = 6,406.79 : x
  2. Step 2: Convert to fraction form
    10,853.64/16,267.02 = 6,406.79/x
  3. Step 3: Cross multiply
    10,853.64x = 16,267.02 × 6,406.79
  4. Step 4: Simplify right side
    10,853.64x = 104,219,299.73
  5. Step 5: Solve for x
    x = 104,219,299.73/10,853.64
  6. Step 6: Final answer
    x = 9,602.24

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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.