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Finding the Fourth Proportional to 10,364, 15,548.44 and 3,438.52

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Solution

The fourth proportional to 10,364, 15,548.44 and 3,438.52 is: 5,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364 : 15,548.44 = 3,438.52 : x
  2. Step 2: Convert to fraction form
    10,364/15,548.44 = 3,438.52/x
  3. Step 3: Cross multiply
    10,364x = 15,548.44 × 3,438.52
  4. Step 4: Simplify right side
    10,364x = 53,463,621.91
  5. Step 5: Solve for x
    x = 53,463,621.91/10,364
  6. Step 6: Final answer
    x = 5,158.59

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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.