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Finding the Fourth Proportional to 7,465.10, 10,302.32 and 4,942.82

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Solution

The fourth proportional to 7,465.10, 10,302.32 and 4,942.82 is: 6,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.10 : 10,302.32 = 4,942.82 : x
  2. Step 2: Convert to fraction form
    7,465.10/10,302.32 = 4,942.82/x
  3. Step 3: Cross multiply
    7,465.10x = 10,302.32 × 4,942.82
  4. Step 4: Simplify right side
    7,465.10x = 50,922,551.46
  5. Step 5: Solve for x
    x = 50,922,551.46/7,465.10
  6. Step 6: Final answer
    x = 6,821.42

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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.