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Finding the Fourth Proportional to 10,197.57, 14,065.36 and 8,851.20

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Solution

The fourth proportional to 10,197.57, 14,065.36 and 8,851.20 is: 12,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.57 : 14,065.36 = 8,851.20 : x
  2. Step 2: Convert to fraction form
    10,197.57/14,065.36 = 8,851.20/x
  3. Step 3: Cross multiply
    10,197.57x = 14,065.36 × 8,851.20
  4. Step 4: Simplify right side
    10,197.57x = 124,495,239.56
  5. Step 5: Solve for x
    x = 124,495,239.56/10,197.57
  6. Step 6: Final answer
    x = 12,208.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.