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Finding the Fourth Proportional to 10,374.70, 15,562.05 and 2,583.49

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Solution

The fourth proportional to 10,374.70, 15,562.05 and 2,583.49 is: 3,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.70 : 15,562.05 = 2,583.49 : x
  2. Step 2: Convert to fraction form
    10,374.70/15,562.05 = 2,583.49/x
  3. Step 3: Cross multiply
    10,374.70x = 15,562.05 × 2,583.49
  4. Step 4: Simplify right side
    10,374.70x = 40,204,400.55
  5. Step 5: Solve for x
    x = 40,204,400.55/10,374.70
  6. Step 6: Final answer
    x = 3,875.24

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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.