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Finding the Fourth Proportional to 10,455.72, 14,428.24 and 5,739.98

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Solution

The fourth proportional to 10,455.72, 14,428.24 and 5,739.98 is: 7,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.72 : 14,428.24 = 5,739.98 : x
  2. Step 2: Convert to fraction form
    10,455.72/14,428.24 = 5,739.98/x
  3. Step 3: Cross multiply
    10,455.72x = 14,428.24 × 5,739.98
  4. Step 4: Simplify right side
    10,455.72x = 82,817,809.04
  5. Step 5: Solve for x
    x = 82,817,809.04/10,455.72
  6. Step 6: Final answer
    x = 7,920.81

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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.