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Finding the Fourth Proportional to 10,699.48, 14,765.45 and 6,450.49

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Solution

The fourth proportional to 10,699.48, 14,765.45 and 6,450.49 is: 8,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.48 : 14,765.45 = 6,450.49 : x
  2. Step 2: Convert to fraction form
    10,699.48/14,765.45 = 6,450.49/x
  3. Step 3: Cross multiply
    10,699.48x = 14,765.45 × 6,450.49
  4. Step 4: Simplify right side
    10,699.48x = 95,244,387.57
  5. Step 5: Solve for x
    x = 95,244,387.57/10,699.48
  6. Step 6: Final answer
    x = 8,901.78

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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.