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Finding the Fourth Proportional to 8,461.16, 11,676.21 and 4,632.78

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Solution

The fourth proportional to 8,461.16, 11,676.21 and 4,632.78 is: 6,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.16 : 11,676.21 = 4,632.78 : x
  2. Step 2: Convert to fraction form
    8,461.16/11,676.21 = 4,632.78/x
  3. Step 3: Cross multiply
    8,461.16x = 11,676.21 × 4,632.78
  4. Step 4: Simplify right side
    8,461.16x = 54,093,312.16
  5. Step 5: Solve for x
    x = 54,093,312.16/8,461.16
  6. Step 6: Final answer
    x = 6,393.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.