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Finding the Fourth Proportional to 7,684.52, 11,500.65 and 4,913.10

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Solution

The fourth proportional to 7,684.52, 11,500.65 and 4,913.10 is: 7,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.52 : 11,500.65 = 4,913.10 : x
  2. Step 2: Convert to fraction form
    7,684.52/11,500.65 = 4,913.10/x
  3. Step 3: Cross multiply
    7,684.52x = 11,500.65 × 4,913.10
  4. Step 4: Simplify right side
    7,684.52x = 56,503,843.52
  5. Step 5: Solve for x
    x = 56,503,843.52/7,684.52
  6. Step 6: Final answer
    x = 7,352.95

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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.