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Finding the Fourth Proportional to 10,930.02, 16,394.85 and 7,059.30

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Solution

The fourth proportional to 10,930.02, 16,394.85 and 7,059.30 is: 10,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.02 : 16,394.85 = 7,059.30 : x
  2. Step 2: Convert to fraction form
    10,930.02/16,394.85 = 7,059.30/x
  3. Step 3: Cross multiply
    10,930.02x = 16,394.85 × 7,059.30
  4. Step 4: Simplify right side
    10,930.02x = 115,736,164.61
  5. Step 5: Solve for x
    x = 115,736,164.61/10,930.02
  6. Step 6: Final answer
    x = 10,588.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.