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Finding the Fourth Proportional to 10,582.82, 14,603.49 and 5,802

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Solution

The fourth proportional to 10,582.82, 14,603.49 and 5,802 is: 8,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.82 : 14,603.49 = 5,802 : x
  2. Step 2: Convert to fraction form
    10,582.82/14,603.49 = 5,802/x
  3. Step 3: Cross multiply
    10,582.82x = 14,603.49 × 5,802
  4. Step 4: Simplify right side
    10,582.82x = 84,729,448.98
  5. Step 5: Solve for x
    x = 84,729,448.98/10,582.82
  6. Step 6: Final answer
    x = 8,006.32

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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.