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Finding the Fourth Proportional to 10,744.40, 16,097.40 and 9,208.40

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Solution

The fourth proportional to 10,744.40, 16,097.40 and 9,208.40 is: 13,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.40 : 16,097.40 = 9,208.40 : x
  2. Step 2: Convert to fraction form
    10,744.40/16,097.40 = 9,208.40/x
  3. Step 3: Cross multiply
    10,744.40x = 16,097.40 × 9,208.40
  4. Step 4: Simplify right side
    10,744.40x = 148,231,298.16
  5. Step 5: Solve for x
    x = 148,231,298.16/10,744.40
  6. Step 6: Final answer
    x = 13,796.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.