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Finding the Fourth Proportional to 10,525.56, 14,525.94 and 5,809.86

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Solution

The fourth proportional to 10,525.56, 14,525.94 and 5,809.86 is: 8,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.56 : 14,525.94 = 5,809.86 : x
  2. Step 2: Convert to fraction form
    10,525.56/14,525.94 = 5,809.86/x
  3. Step 3: Cross multiply
    10,525.56x = 14,525.94 × 5,809.86
  4. Step 4: Simplify right side
    10,525.56x = 84,393,677.77
  5. Step 5: Solve for x
    x = 84,393,677.77/10,525.56
  6. Step 6: Final answer
    x = 8,017.98

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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.