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Finding the Fourth Proportional to 10,291.53, 14,202.31 and 5,575.81

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Solution

The fourth proportional to 10,291.53, 14,202.31 and 5,575.81 is: 7,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.53 : 14,202.31 = 5,575.81 : x
  2. Step 2: Convert to fraction form
    10,291.53/14,202.31 = 5,575.81/x
  3. Step 3: Cross multiply
    10,291.53x = 14,202.31 × 5,575.81
  4. Step 4: Simplify right side
    10,291.53x = 79,189,382.12
  5. Step 5: Solve for x
    x = 79,189,382.12/10,291.53
  6. Step 6: Final answer
    x = 7,694.62

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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.