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Finding the Fourth Proportional to 10,548.40, 14,556.20 and 5,832.40

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Solution

The fourth proportional to 10,548.40, 14,556.20 and 5,832.40 is: 8,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.40 : 14,556.20 = 5,832.40 : x
  2. Step 2: Convert to fraction form
    10,548.40/14,556.20 = 5,832.40/x
  3. Step 3: Cross multiply
    10,548.40x = 14,556.20 × 5,832.40
  4. Step 4: Simplify right side
    10,548.40x = 84,897,580.88
  5. Step 5: Solve for x
    x = 84,897,580.88/10,548.40
  6. Step 6: Final answer
    x = 8,048.38

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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.