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Finding the Fourth Proportional to 8,206.13, 11,323.77 and 4,848.77

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Solution

The fourth proportional to 8,206.13, 11,323.77 and 4,848.77 is: 6,690.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.13 : 11,323.77 = 4,848.77 : x
  2. Step 2: Convert to fraction form
    8,206.13/11,323.77 = 4,848.77/x
  3. Step 3: Cross multiply
    8,206.13x = 11,323.77 × 4,848.77
  4. Step 4: Simplify right side
    8,206.13x = 54,906,356.26
  5. Step 5: Solve for x
    x = 54,906,356.26/8,206.13
  6. Step 6: Final answer
    x = 6,690.90

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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.