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Finding the Fourth Proportional to 7,643.83, 10,532.67 and 6,145.73

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Solution

The fourth proportional to 7,643.83, 10,532.67 and 6,145.73 is: 8,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.83 : 10,532.67 = 6,145.73 : x
  2. Step 2: Convert to fraction form
    7,643.83/10,532.67 = 6,145.73/x
  3. Step 3: Cross multiply
    7,643.83x = 10,532.67 × 6,145.73
  4. Step 4: Simplify right side
    7,643.83x = 64,730,946.00
  5. Step 5: Solve for x
    x = 64,730,946.00/7,643.83
  6. Step 6: Final answer
    x = 8,468.39

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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.