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Finding the Fourth Proportional to 7,509.46, 11,265 and 3,124.48

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Solution

The fourth proportional to 7,509.46, 11,265 and 3,124.48 is: 4,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.46 : 11,265 = 3,124.48 : x
  2. Step 2: Convert to fraction form
    7,509.46/11,265 = 3,124.48/x
  3. Step 3: Cross multiply
    7,509.46x = 11,265 × 3,124.48
  4. Step 4: Simplify right side
    7,509.46x = 35,197,267.20
  5. Step 5: Solve for x
    x = 35,197,267.20/7,509.46
  6. Step 6: Final answer
    x = 4,687.06

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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.