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Finding the Fourth Proportional to 6,696.66, 10,032.03 and 5,154.42

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Solution

The fourth proportional to 6,696.66, 10,032.03 and 5,154.42 is: 7,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.66 : 10,032.03 = 5,154.42 : x
  2. Step 2: Convert to fraction form
    6,696.66/10,032.03 = 5,154.42/x
  3. Step 3: Cross multiply
    6,696.66x = 10,032.03 × 5,154.42
  4. Step 4: Simplify right side
    6,696.66x = 51,709,296.07
  5. Step 5: Solve for x
    x = 51,709,296.07/6,696.66
  6. Step 6: Final answer
    x = 7,721.65

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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.