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Finding the Fourth Proportional to 8,182, 11,290.26 and 4,645.24

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Solution

The fourth proportional to 8,182, 11,290.26 and 4,645.24 is: 6,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182 : 11,290.26 = 4,645.24 : x
  2. Step 2: Convert to fraction form
    8,182/11,290.26 = 4,645.24/x
  3. Step 3: Cross multiply
    8,182x = 11,290.26 × 4,645.24
  4. Step 4: Simplify right side
    8,182x = 52,445,967.36
  5. Step 5: Solve for x
    x = 52,445,967.36/8,182
  6. Step 6: Final answer
    x = 6,409.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.