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Finding the Fourth Proportional to 7,124.76, 10,682.34 and 2,505.24

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Solution

The fourth proportional to 7,124.76, 10,682.34 and 2,505.24 is: 3,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.76 : 10,682.34 = 2,505.24 : x
  2. Step 2: Convert to fraction form
    7,124.76/10,682.34 = 2,505.24/x
  3. Step 3: Cross multiply
    7,124.76x = 10,682.34 × 2,505.24
  4. Step 4: Simplify right side
    7,124.76x = 26,761,825.46
  5. Step 5: Solve for x
    x = 26,761,825.46/7,124.76
  6. Step 6: Final answer
    x = 3,756.17

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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.