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Finding the Fourth Proportional to 10,374.99, 15,562.49 and 2,583.80

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Solution

The fourth proportional to 10,374.99, 15,562.49 and 2,583.80 is: 3,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.99 : 15,562.49 = 2,583.80 : x
  2. Step 2: Convert to fraction form
    10,374.99/15,562.49 = 2,583.80/x
  3. Step 3: Cross multiply
    10,374.99x = 15,562.49 × 2,583.80
  4. Step 4: Simplify right side
    10,374.99x = 40,210,270.93
  5. Step 5: Solve for x
    x = 40,210,270.93/10,374.99
  6. Step 6: Final answer
    x = 3,875.69

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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.