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Finding the Fourth Proportional to 7,922.70, 10,932.10 and 4,564.86

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Solution

The fourth proportional to 7,922.70, 10,932.10 and 4,564.86 is: 6,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.70 : 10,932.10 = 4,564.86 : x
  2. Step 2: Convert to fraction form
    7,922.70/10,932.10 = 4,564.86/x
  3. Step 3: Cross multiply
    7,922.70x = 10,932.10 × 4,564.86
  4. Step 4: Simplify right side
    7,922.70x = 49,903,506.01
  5. Step 5: Solve for x
    x = 49,903,506.01/7,922.70
  6. Step 6: Final answer
    x = 6,298.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.