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Finding the Fourth Proportional to 8,379.56, 12,566.64 and 2,534.60

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Solution

The fourth proportional to 8,379.56, 12,566.64 and 2,534.60 is: 3,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.56 : 12,566.64 = 2,534.60 : x
  2. Step 2: Convert to fraction form
    8,379.56/12,566.64 = 2,534.60/x
  3. Step 3: Cross multiply
    8,379.56x = 12,566.64 × 2,534.60
  4. Step 4: Simplify right side
    8,379.56x = 31,851,405.74
  5. Step 5: Solve for x
    x = 31,851,405.74/8,379.56
  6. Step 6: Final answer
    x = 3,801.08

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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.