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Finding the Fourth Proportional to 10,525.32, 14,525.02 and 5,745.60

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Solution

The fourth proportional to 10,525.32, 14,525.02 and 5,745.60 is: 7,928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.32 : 14,525.02 = 5,745.60 : x
  2. Step 2: Convert to fraction form
    10,525.32/14,525.02 = 5,745.60/x
  3. Step 3: Cross multiply
    10,525.32x = 14,525.02 × 5,745.60
  4. Step 4: Simplify right side
    10,525.32x = 83,454,954.91
  5. Step 5: Solve for x
    x = 83,454,954.91/10,525.32
  6. Step 6: Final answer
    x = 7,928.97

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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.