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Finding the Fourth Proportional to 8,574.68, 11,832.54 and 5,431.88

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Solution

The fourth proportional to 8,574.68, 11,832.54 and 5,431.88 is: 7,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.68 : 11,832.54 = 5,431.88 : x
  2. Step 2: Convert to fraction form
    8,574.68/11,832.54 = 5,431.88/x
  3. Step 3: Cross multiply
    8,574.68x = 11,832.54 × 5,431.88
  4. Step 4: Simplify right side
    8,574.68x = 64,272,937.38
  5. Step 5: Solve for x
    x = 64,272,937.38/8,574.68
  6. Step 6: Final answer
    x = 7,495.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.