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Finding the Fourth Proportional to 10,581.50, 15,873.04 and 3,561.49

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Solution

The fourth proportional to 10,581.50, 15,873.04 and 3,561.49 is: 5,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.50 : 15,873.04 = 3,561.49 : x
  2. Step 2: Convert to fraction form
    10,581.50/15,873.04 = 3,561.49/x
  3. Step 3: Cross multiply
    10,581.50x = 15,873.04 × 3,561.49
  4. Step 4: Simplify right side
    10,581.50x = 56,531,598.22
  5. Step 5: Solve for x
    x = 56,531,598.22/10,581.50
  6. Step 6: Final answer
    x = 5,342.49

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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.