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Finding the Fourth Proportional to 10,853.72, 16,208.08 and 9,277.26

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Solution

The fourth proportional to 10,853.72, 16,208.08 and 9,277.26 is: 13,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.72 : 16,208.08 = 9,277.26 : x
  2. Step 2: Convert to fraction form
    10,853.72/16,208.08 = 9,277.26/x
  3. Step 3: Cross multiply
    10,853.72x = 16,208.08 × 9,277.26
  4. Step 4: Simplify right side
    10,853.72x = 150,366,595.45
  5. Step 5: Solve for x
    x = 150,366,595.45/10,853.72
  6. Step 6: Final answer
    x = 13,853.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.