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Finding the Fourth Proportional to 7,549.84, 11,324.74 and 1,927.50

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Solution

The fourth proportional to 7,549.84, 11,324.74 and 1,927.50 is: 2,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.84 : 11,324.74 = 1,927.50 : x
  2. Step 2: Convert to fraction form
    7,549.84/11,324.74 = 1,927.50/x
  3. Step 3: Cross multiply
    7,549.84x = 11,324.74 × 1,927.50
  4. Step 4: Simplify right side
    7,549.84x = 21,828,493.65
  5. Step 5: Solve for x
    x = 21,828,493.65/7,549.84
  6. Step 6: Final answer
    x = 2,891.25

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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.