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Finding the Fourth Proportional to 8,182.71, 11,289.54 and 4,645.26

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Solution

The fourth proportional to 8,182.71, 11,289.54 and 4,645.26 is: 6,408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.71 : 11,289.54 = 4,645.26 : x
  2. Step 2: Convert to fraction form
    8,182.71/11,289.54 = 4,645.26/x
  3. Step 3: Cross multiply
    8,182.71x = 11,289.54 × 4,645.26
  4. Step 4: Simplify right side
    8,182.71x = 52,442,848.58
  5. Step 5: Solve for x
    x = 52,442,848.58/8,182.71
  6. Step 6: Final answer
    x = 6,408.98

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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.