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Finding the Fourth Proportional to 8,283.02, 11,434.77 and 6,390.32

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Solution

The fourth proportional to 8,283.02, 11,434.77 and 6,390.32 is: 8,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.02 : 11,434.77 = 6,390.32 : x
  2. Step 2: Convert to fraction form
    8,283.02/11,434.77 = 6,390.32/x
  3. Step 3: Cross multiply
    8,283.02x = 11,434.77 × 6,390.32
  4. Step 4: Simplify right side
    8,283.02x = 73,071,782.25
  5. Step 5: Solve for x
    x = 73,071,782.25/8,283.02
  6. Step 6: Final answer
    x = 8,821.88

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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.