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Finding the Fourth Proportional to 10,602.60, 14,633.46 and 7,927.23

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Solution

The fourth proportional to 10,602.60, 14,633.46 and 7,927.23 is: 10,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.60 : 14,633.46 = 7,927.23 : x
  2. Step 2: Convert to fraction form
    10,602.60/14,633.46 = 7,927.23/x
  3. Step 3: Cross multiply
    10,602.60x = 14,633.46 × 7,927.23
  4. Step 4: Simplify right side
    10,602.60x = 116,002,857.99
  5. Step 5: Solve for x
    x = 116,002,857.99/10,602.60
  6. Step 6: Final answer
    x = 10,940.99

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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.