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Finding the Fourth Proportional to 10,972.80, 16,459.20 and 7,279.20

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Solution

The fourth proportional to 10,972.80, 16,459.20 and 7,279.20 is: 10,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.80 : 16,459.20 = 7,279.20 : x
  2. Step 2: Convert to fraction form
    10,972.80/16,459.20 = 7,279.20/x
  3. Step 3: Cross multiply
    10,972.80x = 16,459.20 × 7,279.20
  4. Step 4: Simplify right side
    10,972.80x = 119,809,808.64
  5. Step 5: Solve for x
    x = 119,809,808.64/10,972.80
  6. Step 6: Final answer
    x = 10,918.80

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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.