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Finding the Fourth Proportional to 10,574.34, 15,861.51 and 2,782.50

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Solution

The fourth proportional to 10,574.34, 15,861.51 and 2,782.50 is: 4,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.34 : 15,861.51 = 2,782.50 : x
  2. Step 2: Convert to fraction form
    10,574.34/15,861.51 = 2,782.50/x
  3. Step 3: Cross multiply
    10,574.34x = 15,861.51 × 2,782.50
  4. Step 4: Simplify right side
    10,574.34x = 44,134,651.58
  5. Step 5: Solve for x
    x = 44,134,651.58/10,574.34
  6. Step 6: Final answer
    x = 4,173.75

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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.