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Finding the Fourth Proportional to 4,007.76, 6,012.72 and 1,410.96

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Solution

The fourth proportional to 4,007.76, 6,012.72 and 1,410.96 is: 2,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.76 : 6,012.72 = 1,410.96 : x
  2. Step 2: Convert to fraction form
    4,007.76/6,012.72 = 1,410.96/x
  3. Step 3: Cross multiply
    4,007.76x = 6,012.72 × 1,410.96
  4. Step 4: Simplify right side
    4,007.76x = 8,483,707.41
  5. Step 5: Solve for x
    x = 8,483,707.41/4,007.76
  6. Step 6: Final answer
    x = 2,116.82

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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.