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Finding the Fourth Proportional to 10,525.59, 14,523.98 and 5,809.57

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Solution

The fourth proportional to 10,525.59, 14,523.98 and 5,809.57 is: 8,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.59 : 14,523.98 = 5,809.57 : x
  2. Step 2: Convert to fraction form
    10,525.59/14,523.98 = 5,809.57/x
  3. Step 3: Cross multiply
    10,525.59x = 14,523.98 × 5,809.57
  4. Step 4: Simplify right side
    10,525.59x = 84,378,013.13
  5. Step 5: Solve for x
    x = 84,378,013.13/10,525.59
  6. Step 6: Final answer
    x = 8,016.46

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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.