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Finding the Fourth Proportional to 10,505.50, 14,499.72 and 6,032.33

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Solution

The fourth proportional to 10,505.50, 14,499.72 and 6,032.33 is: 8,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.50 : 14,499.72 = 6,032.33 : x
  2. Step 2: Convert to fraction form
    10,505.50/14,499.72 = 6,032.33/x
  3. Step 3: Cross multiply
    10,505.50x = 14,499.72 × 6,032.33
  4. Step 4: Simplify right side
    10,505.50x = 87,467,095.95
  5. Step 5: Solve for x
    x = 87,467,095.95/10,505.50
  6. Step 6: Final answer
    x = 8,325.84

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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.