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Finding the Fourth Proportional to 10,525.59, 14,525.42 and 5,809.77

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Solution

The fourth proportional to 10,525.59, 14,525.42 and 5,809.77 is: 8,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.59 : 14,525.42 = 5,809.77 : x
  2. Step 2: Convert to fraction form
    10,525.59/14,525.42 = 5,809.77/x
  3. Step 3: Cross multiply
    10,525.59x = 14,525.42 × 5,809.77
  4. Step 4: Simplify right side
    10,525.59x = 84,389,349.35
  5. Step 5: Solve for x
    x = 84,389,349.35/10,525.59
  6. Step 6: Final answer
    x = 8,017.54

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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.