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Finding the Fourth Proportional to 8,851.72, 13,274.94 and 3,007

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Solution

The fourth proportional to 8,851.72, 13,274.94 and 3,007 is: 4,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,851.72 : 13,274.94 = 3,007 : x
  2. Step 2: Convert to fraction form
    8,851.72/13,274.94 = 3,007/x
  3. Step 3: Cross multiply
    8,851.72x = 13,274.94 × 3,007
  4. Step 4: Simplify right side
    8,851.72x = 39,917,744.58
  5. Step 5: Solve for x
    x = 39,917,744.58/8,851.72
  6. Step 6: Final answer
    x = 4,509.60

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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.