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Finding the Fourth Proportional to 10,602.88, 15,904.30 and 3,672.52

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Solution

The fourth proportional to 10,602.88, 15,904.30 and 3,672.52 is: 5,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.88 : 15,904.30 = 3,672.52 : x
  2. Step 2: Convert to fraction form
    10,602.88/15,904.30 = 3,672.52/x
  3. Step 3: Cross multiply
    10,602.88x = 15,904.30 × 3,672.52
  4. Step 4: Simplify right side
    10,602.88x = 58,408,859.84
  5. Step 5: Solve for x
    x = 58,408,859.84/10,602.88
  6. Step 6: Final answer
    x = 5,508.77

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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.