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Finding the Fourth Proportional to 10,525.63, 14,524.94 and 5,809.85

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Solution

The fourth proportional to 10,525.63, 14,524.94 and 5,809.85 is: 8,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.63 : 14,524.94 = 5,809.85 : x
  2. Step 2: Convert to fraction form
    10,525.63/14,524.94 = 5,809.85/x
  3. Step 3: Cross multiply
    10,525.63x = 14,524.94 × 5,809.85
  4. Step 4: Simplify right side
    10,525.63x = 84,387,722.66
  5. Step 5: Solve for x
    x = 84,387,722.66/10,525.63
  6. Step 6: Final answer
    x = 8,017.36

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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.