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Finding the Fourth Proportional to 7,512.80, 11,276 and 4,005.74

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Solution

The fourth proportional to 7,512.80, 11,276 and 4,005.74 is: 6,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.80 : 11,276 = 4,005.74 : x
  2. Step 2: Convert to fraction form
    7,512.80/11,276 = 4,005.74/x
  3. Step 3: Cross multiply
    7,512.80x = 11,276 × 4,005.74
  4. Step 4: Simplify right side
    7,512.80x = 45,168,724.24
  5. Step 5: Solve for x
    x = 45,168,724.24/7,512.80
  6. Step 6: Final answer
    x = 6,012.24

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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.