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Finding the Fourth Proportional to 8,200.02, 11,315.78 and 4,615.19

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Solution

The fourth proportional to 8,200.02, 11,315.78 and 4,615.19 is: 6,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.02 : 11,315.78 = 4,615.19 : x
  2. Step 2: Convert to fraction form
    8,200.02/11,315.78 = 4,615.19/x
  3. Step 3: Cross multiply
    8,200.02x = 11,315.78 × 4,615.19
  4. Step 4: Simplify right side
    8,200.02x = 52,224,418.12
  5. Step 5: Solve for x
    x = 52,224,418.12/8,200.02
  6. Step 6: Final answer
    x = 6,368.82

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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.