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Finding the Fourth Proportional to 8,188.94, 11,300.73 and 4,652.15

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Solution

The fourth proportional to 8,188.94, 11,300.73 and 4,652.15 is: 6,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.94 : 11,300.73 = 4,652.15 : x
  2. Step 2: Convert to fraction form
    8,188.94/11,300.73 = 4,652.15/x
  3. Step 3: Cross multiply
    8,188.94x = 11,300.73 × 4,652.15
  4. Step 4: Simplify right side
    8,188.94x = 52,572,634.57
  5. Step 5: Solve for x
    x = 52,572,634.57/8,188.94
  6. Step 6: Final answer
    x = 6,419.96

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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.