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Finding the Fourth Proportional to 7,808.64, 11,723.95 and 4,525.41

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Solution

The fourth proportional to 7,808.64, 11,723.95 and 4,525.41 is: 6,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.64 : 11,723.95 = 4,525.41 : x
  2. Step 2: Convert to fraction form
    7,808.64/11,723.95 = 4,525.41/x
  3. Step 3: Cross multiply
    7,808.64x = 11,723.95 × 4,525.41
  4. Step 4: Simplify right side
    7,808.64x = 53,055,686.23
  5. Step 5: Solve for x
    x = 53,055,686.23/7,808.64
  6. Step 6: Final answer
    x = 6,794.48

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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.