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Finding the Fourth Proportional to 7,828.69, 10,803.63 and 4,243.65

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Solution

The fourth proportional to 7,828.69, 10,803.63 and 4,243.65 is: 5,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.69 : 10,803.63 = 4,243.65 : x
  2. Step 2: Convert to fraction form
    7,828.69/10,803.63 = 4,243.65/x
  3. Step 3: Cross multiply
    7,828.69x = 10,803.63 × 4,243.65
  4. Step 4: Simplify right side
    7,828.69x = 45,846,803.23
  5. Step 5: Solve for x
    x = 45,846,803.23/7,828.69
  6. Step 6: Final answer
    x = 5,856.25

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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.