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Finding the Fourth Proportional to 8,466.46, 11,680.02 and 5,107.40

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Solution

The fourth proportional to 8,466.46, 11,680.02 and 5,107.40 is: 7,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.46 : 11,680.02 = 5,107.40 : x
  2. Step 2: Convert to fraction form
    8,466.46/11,680.02 = 5,107.40/x
  3. Step 3: Cross multiply
    8,466.46x = 11,680.02 × 5,107.40
  4. Step 4: Simplify right side
    8,466.46x = 59,654,534.15
  5. Step 5: Solve for x
    x = 59,654,534.15/8,466.46
  6. Step 6: Final answer
    x = 7,045.98

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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.