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Finding the Fourth Proportional to 10,567.23, 15,851 and 5,021.14

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Solution

The fourth proportional to 10,567.23, 15,851 and 5,021.14 is: 7,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.23 : 15,851 = 5,021.14 : x
  2. Step 2: Convert to fraction form
    10,567.23/15,851 = 5,021.14/x
  3. Step 3: Cross multiply
    10,567.23x = 15,851 × 5,021.14
  4. Step 4: Simplify right side
    10,567.23x = 79,590,090.14
  5. Step 5: Solve for x
    x = 79,590,090.14/10,567.23
  6. Step 6: Final answer
    x = 7,531.78

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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.