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Finding the Fourth Proportional to 10,455.11, 14,427.57 and 5,739.47

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Solution

The fourth proportional to 10,455.11, 14,427.57 and 5,739.47 is: 7,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.11 : 14,427.57 = 5,739.47 : x
  2. Step 2: Convert to fraction form
    10,455.11/14,427.57 = 5,739.47/x
  3. Step 3: Cross multiply
    10,455.11x = 14,427.57 × 5,739.47
  4. Step 4: Simplify right side
    10,455.11x = 82,806,605.19
  5. Step 5: Solve for x
    x = 82,806,605.19/10,455.11
  6. Step 6: Final answer
    x = 7,920.20

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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.