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Finding the Fourth Proportional to 10,602.36, 15,903.54 and 3,672

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Solution

The fourth proportional to 10,602.36, 15,903.54 and 3,672 is: 5,508

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.36 : 15,903.54 = 3,672 : x
  2. Step 2: Convert to fraction form
    10,602.36/15,903.54 = 3,672/x
  3. Step 3: Cross multiply
    10,602.36x = 15,903.54 × 3,672
  4. Step 4: Simplify right side
    10,602.36x = 58,397,798.88
  5. Step 5: Solve for x
    x = 58,397,798.88/10,602.36
  6. Step 6: Final answer
    x = 5,508

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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.