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Finding the Fourth Proportional to 10,353.37, 15,529.98 and 6,194.53

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Solution

The fourth proportional to 10,353.37, 15,529.98 and 6,194.53 is: 9,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.37 : 15,529.98 = 6,194.53 : x
  2. Step 2: Convert to fraction form
    10,353.37/15,529.98 = 6,194.53/x
  3. Step 3: Cross multiply
    10,353.37x = 15,529.98 × 6,194.53
  4. Step 4: Simplify right side
    10,353.37x = 96,200,927.01
  5. Step 5: Solve for x
    x = 96,200,927.01/10,353.37
  6. Step 6: Final answer
    x = 9,291.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.