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Finding the Fourth Proportional to 8,064, 12,097.35 and 2,516.49

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Solution

The fourth proportional to 8,064, 12,097.35 and 2,516.49 is: 3,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064 : 12,097.35 = 2,516.49 : x
  2. Step 2: Convert to fraction form
    8,064/12,097.35 = 2,516.49/x
  3. Step 3: Cross multiply
    8,064x = 12,097.35 × 2,516.49
  4. Step 4: Simplify right side
    8,064x = 30,442,860.30
  5. Step 5: Solve for x
    x = 30,442,860.30/8,064
  6. Step 6: Final answer
    x = 3,775.16

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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.