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Finding the Fourth Proportional to 10,481.34, 14,464.13 and 7,804.53

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Solution

The fourth proportional to 10,481.34, 14,464.13 and 7,804.53 is: 10,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.34 : 14,464.13 = 7,804.53 : x
  2. Step 2: Convert to fraction form
    10,481.34/14,464.13 = 7,804.53/x
  3. Step 3: Cross multiply
    10,481.34x = 14,464.13 × 7,804.53
  4. Step 4: Simplify right side
    10,481.34x = 112,885,732.75
  5. Step 5: Solve for x
    x = 112,885,732.75/10,481.34
  6. Step 6: Final answer
    x = 10,770.16

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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.