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Finding the Fourth Proportional to 10,544.80, 14,546.18 and 6,956.21

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Solution

The fourth proportional to 10,544.80, 14,546.18 and 6,956.21 is: 9,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.80 : 14,546.18 = 6,956.21 : x
  2. Step 2: Convert to fraction form
    10,544.80/14,546.18 = 6,956.21/x
  3. Step 3: Cross multiply
    10,544.80x = 14,546.18 × 6,956.21
  4. Step 4: Simplify right side
    10,544.80x = 101,186,229.81
  5. Step 5: Solve for x
    x = 101,186,229.81/10,544.80
  6. Step 6: Final answer
    x = 9,595.84

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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.