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Finding the Fourth Proportional to 10,700.43, 14,766.58 and 5,984.72

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Solution

The fourth proportional to 10,700.43, 14,766.58 and 5,984.72 is: 8,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.43 : 14,766.58 = 5,984.72 : x
  2. Step 2: Convert to fraction form
    10,700.43/14,766.58 = 5,984.72/x
  3. Step 3: Cross multiply
    10,700.43x = 14,766.58 × 5,984.72
  4. Step 4: Simplify right side
    10,700.43x = 88,373,846.66
  5. Step 5: Solve for x
    x = 88,373,846.66/10,700.43
  6. Step 6: Final answer
    x = 8,258.91

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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.