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Finding the Fourth Proportional to 8,677, 13,014.06 and 3,749.32

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Solution

The fourth proportional to 8,677, 13,014.06 and 3,749.32 is: 5,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677 : 13,014.06 = 3,749.32 : x
  2. Step 2: Convert to fraction form
    8,677/13,014.06 = 3,749.32/x
  3. Step 3: Cross multiply
    8,677x = 13,014.06 × 3,749.32
  4. Step 4: Simplify right side
    8,677x = 48,793,875.44
  5. Step 5: Solve for x
    x = 48,793,875.44/8,677
  6. Step 6: Final answer
    x = 5,623.36

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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.