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Finding the Fourth Proportional to 5,223.63, 7,882.03 and 5,021.13

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Solution

The fourth proportional to 5,223.63, 7,882.03 and 5,021.13 is: 7,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.63 : 7,882.03 = 5,021.13 : x
  2. Step 2: Convert to fraction form
    5,223.63/7,882.03 = 5,021.13/x
  3. Step 3: Cross multiply
    5,223.63x = 7,882.03 × 5,021.13
  4. Step 4: Simplify right side
    5,223.63x = 39,576,684.74
  5. Step 5: Solve for x
    x = 39,576,684.74/5,223.63
  6. Step 6: Final answer
    x = 7,576.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.