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Finding the Fourth Proportional to 8,111.37, 11,193.54 and 4,574.58

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Solution

The fourth proportional to 8,111.37, 11,193.54 and 4,574.58 is: 6,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.37 : 11,193.54 = 4,574.58 : x
  2. Step 2: Convert to fraction form
    8,111.37/11,193.54 = 4,574.58/x
  3. Step 3: Cross multiply
    8,111.37x = 11,193.54 × 4,574.58
  4. Step 4: Simplify right side
    8,111.37x = 51,205,744.21
  5. Step 5: Solve for x
    x = 51,205,744.21/8,111.37
  6. Step 6: Final answer
    x = 6,312.84

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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.