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Finding the Fourth Proportional to 7,380.35, 10,187.72 and 5,406.58

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Solution

The fourth proportional to 7,380.35, 10,187.72 and 5,406.58 is: 7,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.35 : 10,187.72 = 5,406.58 : x
  2. Step 2: Convert to fraction form
    7,380.35/10,187.72 = 5,406.58/x
  3. Step 3: Cross multiply
    7,380.35x = 10,187.72 × 5,406.58
  4. Step 4: Simplify right side
    7,380.35x = 55,080,759.59
  5. Step 5: Solve for x
    x = 55,080,759.59/7,380.35
  6. Step 6: Final answer
    x = 7,463.16

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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.