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Finding the Fourth Proportional to 11,238.65, 16,852.75 and 6,560.00

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Solution

The fourth proportional to 11,238.65, 16,852.75 and 6,560.00 is: 9,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.65 : 16,852.75 = 6,560.00 : x
  2. Step 2: Convert to fraction form
    11,238.65/16,852.75 = 6,560.00/x
  3. Step 3: Cross multiply
    11,238.65x = 16,852.75 × 6,560.00
  4. Step 4: Simplify right side
    11,238.65x = 110,554,065.73
  5. Step 5: Solve for x
    x = 110,554,065.73/11,238.65
  6. Step 6: Final answer
    x = 9,836.96

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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.