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Finding the Fourth Proportional to 6,880.56, 10,319.88 and 2,262

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Solution

The fourth proportional to 6,880.56, 10,319.88 and 2,262 is: 3,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.56 : 10,319.88 = 2,262 : x
  2. Step 2: Convert to fraction form
    6,880.56/10,319.88 = 2,262/x
  3. Step 3: Cross multiply
    6,880.56x = 10,319.88 × 2,262
  4. Step 4: Simplify right side
    6,880.56x = 23,343,568.56
  5. Step 5: Solve for x
    x = 23,343,568.56/6,880.56
  6. Step 6: Final answer
    x = 3,392.68

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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.