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Finding the Fourth Proportional to 10,567.74, 15,851.76 and 5,021.64

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Solution

The fourth proportional to 10,567.74, 15,851.76 and 5,021.64 is: 7,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.74 : 15,851.76 = 5,021.64 : x
  2. Step 2: Convert to fraction form
    10,567.74/15,851.76 = 5,021.64/x
  3. Step 3: Cross multiply
    10,567.74x = 15,851.76 × 5,021.64
  4. Step 4: Simplify right side
    10,567.74x = 79,601,832.09
  5. Step 5: Solve for x
    x = 79,601,832.09/10,567.74
  6. Step 6: Final answer
    x = 7,532.53

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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.