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Finding the Fourth Proportional to 6,880.95, 10,325.07 and 4,113.08

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Solution

The fourth proportional to 6,880.95, 10,325.07 and 4,113.08 is: 6,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.95 : 10,325.07 = 4,113.08 : x
  2. Step 2: Convert to fraction form
    6,880.95/10,325.07 = 4,113.08/x
  3. Step 3: Cross multiply
    6,880.95x = 10,325.07 × 4,113.08
  4. Step 4: Simplify right side
    6,880.95x = 42,467,826.01
  5. Step 5: Solve for x
    x = 42,467,826.01/6,880.95
  6. Step 6: Final answer
    x = 6,171.80

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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.