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Finding the Fourth Proportional to 8,614.63, 12,921.99 and 3,420.50

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Solution

The fourth proportional to 8,614.63, 12,921.99 and 3,420.50 is: 5,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.63 : 12,921.99 = 3,420.50 : x
  2. Step 2: Convert to fraction form
    8,614.63/12,921.99 = 3,420.50/x
  3. Step 3: Cross multiply
    8,614.63x = 12,921.99 × 3,420.50
  4. Step 4: Simplify right side
    8,614.63x = 44,199,666.80
  5. Step 5: Solve for x
    x = 44,199,666.80/8,614.63
  6. Step 6: Final answer
    x = 5,130.77

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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.