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Finding the Fourth Proportional to 10,600.84, 15,903.10 and 3,580.91

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Solution

The fourth proportional to 10,600.84, 15,903.10 and 3,580.91 is: 5,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.84 : 15,903.10 = 3,580.91 : x
  2. Step 2: Convert to fraction form
    10,600.84/15,903.10 = 3,580.91/x
  3. Step 3: Cross multiply
    10,600.84x = 15,903.10 × 3,580.91
  4. Step 4: Simplify right side
    10,600.84x = 56,947,546.03
  5. Step 5: Solve for x
    x = 56,947,546.03/10,600.84
  6. Step 6: Final answer
    x = 5,371.98

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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.