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Finding the Fourth Proportional to 8,734.53, 12,053.70 and 5,197.87

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Solution

The fourth proportional to 8,734.53, 12,053.70 and 5,197.87 is: 7,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.53 : 12,053.70 = 5,197.87 : x
  2. Step 2: Convert to fraction form
    8,734.53/12,053.70 = 5,197.87/x
  3. Step 3: Cross multiply
    8,734.53x = 12,053.70 × 5,197.87
  4. Step 4: Simplify right side
    8,734.53x = 62,653,479.36
  5. Step 5: Solve for x
    x = 62,653,479.36/8,734.53
  6. Step 6: Final answer
    x = 7,173.08

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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.