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Finding the Fourth Proportional to 8,182.54, 11,291.56 and 4,645.95

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Solution

The fourth proportional to 8,182.54, 11,291.56 and 4,645.95 is: 6,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.54 : 11,291.56 = 4,645.95 : x
  2. Step 2: Convert to fraction form
    8,182.54/11,291.56 = 4,645.95/x
  3. Step 3: Cross multiply
    8,182.54x = 11,291.56 × 4,645.95
  4. Step 4: Simplify right side
    8,182.54x = 52,460,023.18
  5. Step 5: Solve for x
    x = 52,460,023.18/8,182.54
  6. Step 6: Final answer
    x = 6,411.21

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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.