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Finding the Fourth Proportional to 8,686.14, 13,029.81 and 3,492

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Solution

The fourth proportional to 8,686.14, 13,029.81 and 3,492 is: 5,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.14 : 13,029.81 = 3,492 : x
  2. Step 2: Convert to fraction form
    8,686.14/13,029.81 = 3,492/x
  3. Step 3: Cross multiply
    8,686.14x = 13,029.81 × 3,492
  4. Step 4: Simplify right side
    8,686.14x = 45,500,096.52
  5. Step 5: Solve for x
    x = 45,500,096.52/8,686.14
  6. Step 6: Final answer
    x = 5,238.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.