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Finding the Fourth Proportional to 7,420.74, 11,135.43 and 2,804.10

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Solution

The fourth proportional to 7,420.74, 11,135.43 and 2,804.10 is: 4,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.74 : 11,135.43 = 2,804.10 : x
  2. Step 2: Convert to fraction form
    7,420.74/11,135.43 = 2,804.10/x
  3. Step 3: Cross multiply
    7,420.74x = 11,135.43 × 2,804.10
  4. Step 4: Simplify right side
    7,420.74x = 31,224,859.26
  5. Step 5: Solve for x
    x = 31,224,859.26/7,420.74
  6. Step 6: Final answer
    x = 4,207.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.