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Finding the Fourth Proportional to 8,742.48, 13,114.04 and 3,548.24

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Solution

The fourth proportional to 8,742.48, 13,114.04 and 3,548.24 is: 5,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.48 : 13,114.04 = 3,548.24 : x
  2. Step 2: Convert to fraction form
    8,742.48/13,114.04 = 3,548.24/x
  3. Step 3: Cross multiply
    8,742.48x = 13,114.04 × 3,548.24
  4. Step 4: Simplify right side
    8,742.48x = 46,531,761.29
  5. Step 5: Solve for x
    x = 46,531,761.29/8,742.48
  6. Step 6: Final answer
    x = 5,322.49

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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.