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Finding the Fourth Proportional to 10,473.41, 15,697.34 and 4,919.34

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Solution

The fourth proportional to 10,473.41, 15,697.34 and 4,919.34 is: 7,373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.41 : 15,697.34 = 4,919.34 : x
  2. Step 2: Convert to fraction form
    10,473.41/15,697.34 = 4,919.34/x
  3. Step 3: Cross multiply
    10,473.41x = 15,697.34 × 4,919.34
  4. Step 4: Simplify right side
    10,473.41x = 77,220,527.96
  5. Step 5: Solve for x
    x = 77,220,527.96/10,473.41
  6. Step 6: Final answer
    x = 7,373.01

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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.