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Finding the Fourth Proportional to 7,450.96, 10,281.72 and 4,093.76

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Solution

The fourth proportional to 7,450.96, 10,281.72 and 4,093.76 is: 5,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.96 : 10,281.72 = 4,093.76 : x
  2. Step 2: Convert to fraction form
    7,450.96/10,281.72 = 4,093.76/x
  3. Step 3: Cross multiply
    7,450.96x = 10,281.72 × 4,093.76
  4. Step 4: Simplify right side
    7,450.96x = 42,090,894.07
  5. Step 5: Solve for x
    x = 42,090,894.07/7,450.96
  6. Step 6: Final answer
    x = 5,649.06

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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.