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Finding the Fourth Proportional to 7,686.36, 10,607.22 and 4,329.24

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Solution

The fourth proportional to 7,686.36, 10,607.22 and 4,329.24 is: 5,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.36 : 10,607.22 = 4,329.24 : x
  2. Step 2: Convert to fraction form
    7,686.36/10,607.22 = 4,329.24/x
  3. Step 3: Cross multiply
    7,686.36x = 10,607.22 × 4,329.24
  4. Step 4: Simplify right side
    7,686.36x = 45,921,201.11
  5. Step 5: Solve for x
    x = 45,921,201.11/7,686.36
  6. Step 6: Final answer
    x = 5,974.38

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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.