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Finding the Fourth Proportional to 10,525.53, 14,525.35 and 5,809.81

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Solution

The fourth proportional to 10,525.53, 14,525.35 and 5,809.81 is: 8,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.53 : 14,525.35 = 5,809.81 : x
  2. Step 2: Convert to fraction form
    10,525.53/14,525.35 = 5,809.81/x
  3. Step 3: Cross multiply
    10,525.53x = 14,525.35 × 5,809.81
  4. Step 4: Simplify right side
    10,525.53x = 84,389,523.68
  5. Step 5: Solve for x
    x = 84,389,523.68/10,525.53
  6. Step 6: Final answer
    x = 8,017.60

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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.