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Finding the Fourth Proportional to 7,045.50, 10,568.97 and 2,428.50

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Solution

The fourth proportional to 7,045.50, 10,568.97 and 2,428.50 is: 3,643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.50 : 10,568.97 = 2,428.50 : x
  2. Step 2: Convert to fraction form
    7,045.50/10,568.97 = 2,428.50/x
  3. Step 3: Cross multiply
    7,045.50x = 10,568.97 × 2,428.50
  4. Step 4: Simplify right side
    7,045.50x = 25,666,743.65
  5. Step 5: Solve for x
    x = 25,666,743.65/7,045.50
  6. Step 6: Final answer
    x = 3,643.00

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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.