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Finding the Fourth Proportional to 7,922.02, 10,932.01 and 4,564.93

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Solution

The fourth proportional to 7,922.02, 10,932.01 and 4,564.93 is: 6,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.02 : 10,932.01 = 4,564.93 : x
  2. Step 2: Convert to fraction form
    7,922.02/10,932.01 = 4,564.93/x
  3. Step 3: Cross multiply
    7,922.02x = 10,932.01 × 4,564.93
  4. Step 4: Simplify right side
    7,922.02x = 49,903,860.41
  5. Step 5: Solve for x
    x = 49,903,860.41/7,922.02
  6. Step 6: Final answer
    x = 6,299.39

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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.