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Finding the Fourth Proportional to 8,461.10, 11,674.76 and 4,925.46

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Solution

The fourth proportional to 8,461.10, 11,674.76 and 4,925.46 is: 6,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.10 : 11,674.76 = 4,925.46 : x
  2. Step 2: Convert to fraction form
    8,461.10/11,674.76 = 4,925.46/x
  3. Step 3: Cross multiply
    8,461.10x = 11,674.76 × 4,925.46
  4. Step 4: Simplify right side
    8,461.10x = 57,503,563.39
  5. Step 5: Solve for x
    x = 57,503,563.39/8,461.10
  6. Step 6: Final answer
    x = 6,796.23

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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.