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Finding the Fourth Proportional to 6,113.76, 8,441.19 and 4,127.10

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Solution

The fourth proportional to 6,113.76, 8,441.19 and 4,127.10 is: 5,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.76 : 8,441.19 = 4,127.10 : x
  2. Step 2: Convert to fraction form
    6,113.76/8,441.19 = 4,127.10/x
  3. Step 3: Cross multiply
    6,113.76x = 8,441.19 × 4,127.10
  4. Step 4: Simplify right side
    6,113.76x = 34,837,635.25
  5. Step 5: Solve for x
    x = 34,837,635.25/6,113.76
  6. Step 6: Final answer
    x = 5,698.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.