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Finding the Fourth Proportional to 10,581.69, 15,873.89 and 3,558.69

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Solution

The fourth proportional to 10,581.69, 15,873.89 and 3,558.69 is: 5,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.69 : 15,873.89 = 3,558.69 : x
  2. Step 2: Convert to fraction form
    10,581.69/15,873.89 = 3,558.69/x
  3. Step 3: Cross multiply
    10,581.69x = 15,873.89 × 3,558.69
  4. Step 4: Simplify right side
    10,581.69x = 56,490,235.81
  5. Step 5: Solve for x
    x = 56,490,235.81/10,581.69
  6. Step 6: Final answer
    x = 5,338.49

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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.