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Finding the Fourth Proportional to 10,509.82, 14,503.27 and 5,794.12

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Solution

The fourth proportional to 10,509.82, 14,503.27 and 5,794.12 is: 7,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.82 : 14,503.27 = 5,794.12 : x
  2. Step 2: Convert to fraction form
    10,509.82/14,503.27 = 5,794.12/x
  3. Step 3: Cross multiply
    10,509.82x = 14,503.27 × 5,794.12
  4. Step 4: Simplify right side
    10,509.82x = 84,033,686.77
  5. Step 5: Solve for x
    x = 84,033,686.77/10,509.82
  6. Step 6: Final answer
    x = 7,995.73

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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.