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Finding the Fourth Proportional to 8,114.58, 11,197.17 and 4,577.45

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Solution

The fourth proportional to 8,114.58, 11,197.17 and 4,577.45 is: 6,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.58 : 11,197.17 = 4,577.45 : x
  2. Step 2: Convert to fraction form
    8,114.58/11,197.17 = 4,577.45/x
  3. Step 3: Cross multiply
    8,114.58x = 11,197.17 × 4,577.45
  4. Step 4: Simplify right side
    8,114.58x = 51,254,429.83
  5. Step 5: Solve for x
    x = 51,254,429.83/8,114.58
  6. Step 6: Final answer
    x = 6,316.34

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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.