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Finding the Fourth Proportional to 7,361.14, 11,041.46 and 2,430.66

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Solution

The fourth proportional to 7,361.14, 11,041.46 and 2,430.66 is: 3,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.14 : 11,041.46 = 2,430.66 : x
  2. Step 2: Convert to fraction form
    7,361.14/11,041.46 = 2,430.66/x
  3. Step 3: Cross multiply
    7,361.14x = 11,041.46 × 2,430.66
  4. Step 4: Simplify right side
    7,361.14x = 26,838,035.16
  5. Step 5: Solve for x
    x = 26,838,035.16/7,361.14
  6. Step 6: Final answer
    x = 3,645.91

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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.