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Finding the Fourth Proportional to 7,314.66, 10,094.46 and 4,128

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Solution

The fourth proportional to 7,314.66, 10,094.46 and 4,128 is: 5,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.66 : 10,094.46 = 4,128 : x
  2. Step 2: Convert to fraction form
    7,314.66/10,094.46 = 4,128/x
  3. Step 3: Cross multiply
    7,314.66x = 10,094.46 × 4,128
  4. Step 4: Simplify right side
    7,314.66x = 41,669,930.88
  5. Step 5: Solve for x
    x = 41,669,930.88/7,314.66
  6. Step 6: Final answer
    x = 5,696.77

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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.