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Finding the Fourth Proportional to 10,548.42, 14,556.87 and 5,832.87

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Solution

The fourth proportional to 10,548.42, 14,556.87 and 5,832.87 is: 8,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.42 : 14,556.87 = 5,832.87 : x
  2. Step 2: Convert to fraction form
    10,548.42/14,556.87 = 5,832.87/x
  3. Step 3: Cross multiply
    10,548.42x = 14,556.87 × 5,832.87
  4. Step 4: Simplify right side
    10,548.42x = 84,908,330.32
  5. Step 5: Solve for x
    x = 84,908,330.32/10,548.42
  6. Step 6: Final answer
    x = 8,049.39

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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.