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Finding the Fourth Proportional to 7,478.23, 10,314.64 and 4,922.89

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Solution

The fourth proportional to 7,478.23, 10,314.64 and 4,922.89 is: 6,790.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.23 : 10,314.64 = 4,922.89 : x
  2. Step 2: Convert to fraction form
    7,478.23/10,314.64 = 4,922.89/x
  3. Step 3: Cross multiply
    7,478.23x = 10,314.64 × 4,922.89
  4. Step 4: Simplify right side
    7,478.23x = 50,777,838.11
  5. Step 5: Solve for x
    x = 50,777,838.11/7,478.23
  6. Step 6: Final answer
    x = 6,790.09

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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.