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Finding the Fourth Proportional to 8,423.36, 12,638.32 and 3,491.76

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Solution

The fourth proportional to 8,423.36, 12,638.32 and 3,491.76 is: 5,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.36 : 12,638.32 = 3,491.76 : x
  2. Step 2: Convert to fraction form
    8,423.36/12,638.32 = 3,491.76/x
  3. Step 3: Cross multiply
    8,423.36x = 12,638.32 × 3,491.76
  4. Step 4: Simplify right side
    8,423.36x = 44,129,980.24
  5. Step 5: Solve for x
    x = 44,129,980.24/8,423.36
  6. Step 6: Final answer
    x = 5,239.00

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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.