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Finding the Fourth Proportional to 7,840.13, 11,762.22 and 2,911.18

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Solution

The fourth proportional to 7,840.13, 11,762.22 and 2,911.18 is: 4,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.13 : 11,762.22 = 2,911.18 : x
  2. Step 2: Convert to fraction form
    7,840.13/11,762.22 = 2,911.18/x
  3. Step 3: Cross multiply
    7,840.13x = 11,762.22 × 2,911.18
  4. Step 4: Simplify right side
    7,840.13x = 34,241,880.81
  5. Step 5: Solve for x
    x = 34,241,880.81/7,840.13
  6. Step 6: Final answer
    x = 4,367.51

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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.