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Finding the Fourth Proportional to 10,650.94, 14,695.74 and 8,004.70

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Solution

The fourth proportional to 10,650.94, 14,695.74 and 8,004.70 is: 11,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.94 : 14,695.74 = 8,004.70 : x
  2. Step 2: Convert to fraction form
    10,650.94/14,695.74 = 8,004.70/x
  3. Step 3: Cross multiply
    10,650.94x = 14,695.74 × 8,004.70
  4. Step 4: Simplify right side
    10,650.94x = 117,634,989.98
  5. Step 5: Solve for x
    x = 117,634,989.98/10,650.94
  6. Step 6: Final answer
    x = 11,044.56

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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.