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Finding the Fourth Proportional to 7,696.60, 11,536.62 and 3,316.12

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Solution

The fourth proportional to 7,696.60, 11,536.62 and 3,316.12 is: 4,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.60 : 11,536.62 = 3,316.12 : x
  2. Step 2: Convert to fraction form
    7,696.60/11,536.62 = 3,316.12/x
  3. Step 3: Cross multiply
    7,696.60x = 11,536.62 × 3,316.12
  4. Step 4: Simplify right side
    7,696.60x = 38,256,816.31
  5. Step 5: Solve for x
    x = 38,256,816.31/7,696.60
  6. Step 6: Final answer
    x = 4,970.61

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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.