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Finding the Fourth Proportional to 8,237.04, 11,365.84 and 4,651.84

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Solution

The fourth proportional to 8,237.04, 11,365.84 and 4,651.84 is: 6,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.04 : 11,365.84 = 4,651.84 : x
  2. Step 2: Convert to fraction form
    8,237.04/11,365.84 = 4,651.84/x
  3. Step 3: Cross multiply
    8,237.04x = 11,365.84 × 4,651.84
  4. Step 4: Simplify right side
    8,237.04x = 52,872,069.15
  5. Step 5: Solve for x
    x = 52,872,069.15/8,237.04
  6. Step 6: Final answer
    x = 6,418.82

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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.