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Finding the Fourth Proportional to 8,461.02, 12,684.24 and 3,264.06

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Solution

The fourth proportional to 8,461.02, 12,684.24 and 3,264.06 is: 4,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.02 : 12,684.24 = 3,264.06 : x
  2. Step 2: Convert to fraction form
    8,461.02/12,684.24 = 3,264.06/x
  3. Step 3: Cross multiply
    8,461.02x = 12,684.24 × 3,264.06
  4. Step 4: Simplify right side
    8,461.02x = 41,402,120.41
  5. Step 5: Solve for x
    x = 41,402,120.41/8,461.02
  6. Step 6: Final answer
    x = 4,893.28

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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.