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Finding the Fourth Proportional to 7,880.64, 11,818.44 and 3,718.14

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Solution

The fourth proportional to 7,880.64, 11,818.44 and 3,718.14 is: 5,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.64 : 11,818.44 = 3,718.14 : x
  2. Step 2: Convert to fraction form
    7,880.64/11,818.44 = 3,718.14/x
  3. Step 3: Cross multiply
    7,880.64x = 11,818.44 × 3,718.14
  4. Step 4: Simplify right side
    7,880.64x = 43,942,614.50
  5. Step 5: Solve for x
    x = 43,942,614.50/7,880.64
  6. Step 6: Final answer
    x = 5,576.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.