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Finding the Fourth Proportional to 8,530.53, 11,771.82 and 4,753.50

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Solution

The fourth proportional to 8,530.53, 11,771.82 and 4,753.50 is: 6,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.53 : 11,771.82 = 4,753.50 : x
  2. Step 2: Convert to fraction form
    8,530.53/11,771.82 = 4,753.50/x
  3. Step 3: Cross multiply
    8,530.53x = 11,771.82 × 4,753.50
  4. Step 4: Simplify right side
    8,530.53x = 55,957,287.51
  5. Step 5: Solve for x
    x = 55,957,287.51/8,530.53
  6. Step 6: Final answer
    x = 6,559.65

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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.