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Finding the Fourth Proportional to 7,525.46, 11,289 and 3,140.48

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Solution

The fourth proportional to 7,525.46, 11,289 and 3,140.48 is: 4,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.46 : 11,289 = 3,140.48 : x
  2. Step 2: Convert to fraction form
    7,525.46/11,289 = 3,140.48/x
  3. Step 3: Cross multiply
    7,525.46x = 11,289 × 3,140.48
  4. Step 4: Simplify right side
    7,525.46x = 35,452,878.72
  5. Step 5: Solve for x
    x = 35,452,878.72/7,525.46
  6. Step 6: Final answer
    x = 4,711.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.