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Finding the Fourth Proportional to 10,700.16, 14,766.69 and 5,984.43

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Solution

The fourth proportional to 10,700.16, 14,766.69 and 5,984.43 is: 8,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.16 : 14,766.69 = 5,984.43 : x
  2. Step 2: Convert to fraction form
    10,700.16/14,766.69 = 5,984.43/x
  3. Step 3: Cross multiply
    10,700.16x = 14,766.69 × 5,984.43
  4. Step 4: Simplify right side
    10,700.16x = 88,370,222.64
  5. Step 5: Solve for x
    x = 88,370,222.64/10,700.16
  6. Step 6: Final answer
    x = 8,258.78

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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.