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Finding the Fourth Proportional to 7,357.74, 11,037.70 and 2,427.90

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Solution

The fourth proportional to 7,357.74, 11,037.70 and 2,427.90 is: 3,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.74 : 11,037.70 = 2,427.90 : x
  2. Step 2: Convert to fraction form
    7,357.74/11,037.70 = 2,427.90/x
  3. Step 3: Cross multiply
    7,357.74x = 11,037.70 × 2,427.90
  4. Step 4: Simplify right side
    7,357.74x = 26,798,431.83
  5. Step 5: Solve for x
    x = 26,798,431.83/7,357.74
  6. Step 6: Final answer
    x = 3,642.21

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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.