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Finding the Fourth Proportional to 10,700.30, 14,766.24 and 5,984.54

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Solution

The fourth proportional to 10,700.30, 14,766.24 and 5,984.54 is: 8,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.30 : 14,766.24 = 5,984.54 : x
  2. Step 2: Convert to fraction form
    10,700.30/14,766.24 = 5,984.54/x
  3. Step 3: Cross multiply
    10,700.30x = 14,766.24 × 5,984.54
  4. Step 4: Simplify right side
    10,700.30x = 88,369,153.93
  5. Step 5: Solve for x
    x = 88,369,153.93/10,700.30
  6. Step 6: Final answer
    x = 8,258.57

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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.