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Finding the Fourth Proportional to 10,525.22, 14,524.64 and 5,809.54

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Solution

The fourth proportional to 10,525.22, 14,524.64 and 5,809.54 is: 8,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.22 : 14,524.64 = 5,809.54 : x
  2. Step 2: Convert to fraction form
    10,525.22/14,524.64 = 5,809.54/x
  3. Step 3: Cross multiply
    10,525.22x = 14,524.64 × 5,809.54
  4. Step 4: Simplify right side
    10,525.22x = 84,381,477.07
  5. Step 5: Solve for x
    x = 84,381,477.07/10,525.22
  6. Step 6: Final answer
    x = 8,017.07

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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.