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Finding the Fourth Proportional to 10,952.76, 16,443.32 and 9,402.84

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Solution

The fourth proportional to 10,952.76, 16,443.32 and 9,402.84 is: 14,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.76 : 16,443.32 = 9,402.84 : x
  2. Step 2: Convert to fraction form
    10,952.76/16,443.32 = 9,402.84/x
  3. Step 3: Cross multiply
    10,952.76x = 16,443.32 × 9,402.84
  4. Step 4: Simplify right side
    10,952.76x = 154,613,907.03
  5. Step 5: Solve for x
    x = 154,613,907.03/10,952.76
  6. Step 6: Final answer
    x = 14,116.43

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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.