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Finding the Fourth Proportional to 8,041.50, 11,097.96 and 4,684.62

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Solution

The fourth proportional to 8,041.50, 11,097.96 and 4,684.62 is: 6,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.50 : 11,097.96 = 4,684.62 : x
  2. Step 2: Convert to fraction form
    8,041.50/11,097.96 = 4,684.62/x
  3. Step 3: Cross multiply
    8,041.50x = 11,097.96 × 4,684.62
  4. Step 4: Simplify right side
    8,041.50x = 51,989,725.38
  5. Step 5: Solve for x
    x = 51,989,725.38/8,041.50
  6. Step 6: Final answer
    x = 6,465.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.