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Finding the Fourth Proportional to 7,344.65, 11,016.75 and 1,798.01

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Solution

The fourth proportional to 7,344.65, 11,016.75 and 1,798.01 is: 2,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.65 : 11,016.75 = 1,798.01 : x
  2. Step 2: Convert to fraction form
    7,344.65/11,016.75 = 1,798.01/x
  3. Step 3: Cross multiply
    7,344.65x = 11,016.75 × 1,798.01
  4. Step 4: Simplify right side
    7,344.65x = 19,808,226.67
  5. Step 5: Solve for x
    x = 19,808,226.67/7,344.65
  6. Step 6: Final answer
    x = 2,696.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.