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Finding the Fourth Proportional to 10,525.44, 14,525.11 and 5,809.72

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Solution

The fourth proportional to 10,525.44, 14,525.11 and 5,809.72 is: 8,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.44 : 14,525.11 = 5,809.72 : x
  2. Step 2: Convert to fraction form
    10,525.44/14,525.11 = 5,809.72/x
  3. Step 3: Cross multiply
    10,525.44x = 14,525.11 × 5,809.72
  4. Step 4: Simplify right side
    10,525.44x = 84,386,793.02
  5. Step 5: Solve for x
    x = 84,386,793.02/10,525.44
  6. Step 6: Final answer
    x = 8,017.41

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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.