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Finding the Fourth Proportional to 11,449.37, 15,807.83 and 7,149.00

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Solution

The fourth proportional to 11,449.37, 15,807.83 and 7,149.00 is: 9,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.37 : 15,807.83 = 7,149.00 : x
  2. Step 2: Convert to fraction form
    11,449.37/15,807.83 = 7,149.00/x
  3. Step 3: Cross multiply
    11,449.37x = 15,807.83 × 7,149.00
  4. Step 4: Simplify right side
    11,449.37x = 113,010,240.42
  5. Step 5: Solve for x
    x = 113,010,240.42/11,449.37
  6. Step 6: Final answer
    x = 9,870.44

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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.