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Finding the Fourth Proportional to 8,291.73, 11,442.46 and 4,565.73

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Solution

The fourth proportional to 8,291.73, 11,442.46 and 4,565.73 is: 6,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.73 : 11,442.46 = 4,565.73 : x
  2. Step 2: Convert to fraction form
    8,291.73/11,442.46 = 4,565.73/x
  3. Step 3: Cross multiply
    8,291.73x = 11,442.46 × 4,565.73
  4. Step 4: Simplify right side
    8,291.73x = 52,243,182.90
  5. Step 5: Solve for x
    x = 52,243,182.90/8,291.73
  6. Step 6: Final answer
    x = 6,300.64

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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.