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Finding the Fourth Proportional to 10,288.67, 14,193.15 and 6,505.46

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Solution

The fourth proportional to 10,288.67, 14,193.15 and 6,505.46 is: 8,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.67 : 14,193.15 = 6,505.46 : x
  2. Step 2: Convert to fraction form
    10,288.67/14,193.15 = 6,505.46/x
  3. Step 3: Cross multiply
    10,288.67x = 14,193.15 × 6,505.46
  4. Step 4: Simplify right side
    10,288.67x = 92,333,025.60
  5. Step 5: Solve for x
    x = 92,333,025.60/10,288.67
  6. Step 6: Final answer
    x = 8,974.24

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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.