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Finding the Fourth Proportional to 12,094.28, 16,687.34 and 7,056.50

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Solution

The fourth proportional to 12,094.28, 16,687.34 and 7,056.50 is: 9,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.28 : 16,687.34 = 7,056.50 : x
  2. Step 2: Convert to fraction form
    12,094.28/16,687.34 = 7,056.50/x
  3. Step 3: Cross multiply
    12,094.28x = 16,687.34 × 7,056.50
  4. Step 4: Simplify right side
    12,094.28x = 117,754,214.71
  5. Step 5: Solve for x
    x = 117,754,214.71/12,094.28
  6. Step 6: Final answer
    x = 9,736.36

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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.