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Finding the Fourth Proportional to 8,314.06, 11,473.41 and 4,588.06

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Solution

The fourth proportional to 8,314.06, 11,473.41 and 4,588.06 is: 6,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.06 : 11,473.41 = 4,588.06 : x
  2. Step 2: Convert to fraction form
    8,314.06/11,473.41 = 4,588.06/x
  3. Step 3: Cross multiply
    8,314.06x = 11,473.41 × 4,588.06
  4. Step 4: Simplify right side
    8,314.06x = 52,640,693.48
  5. Step 5: Solve for x
    x = 52,640,693.48/8,314.06
  6. Step 6: Final answer
    x = 6,331.53

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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.