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Finding the Fourth Proportional to 10,464, 15,697.03 and 3,441.16

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Solution

The fourth proportional to 10,464, 15,697.03 and 3,441.16 is: 5,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464 : 15,697.03 = 3,441.16 : x
  2. Step 2: Convert to fraction form
    10,464/15,697.03 = 3,441.16/x
  3. Step 3: Cross multiply
    10,464x = 15,697.03 × 3,441.16
  4. Step 4: Simplify right side
    10,464x = 54,015,991.75
  5. Step 5: Solve for x
    x = 54,015,991.75/10,464
  6. Step 6: Final answer
    x = 5,162.08

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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.