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Finding the Fourth Proportional to 10,830.94, 16,245.36 and 7,343.36

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Solution

The fourth proportional to 10,830.94, 16,245.36 and 7,343.36 is: 11,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.94 : 16,245.36 = 7,343.36 : x
  2. Step 2: Convert to fraction form
    10,830.94/16,245.36 = 7,343.36/x
  3. Step 3: Cross multiply
    10,830.94x = 16,245.36 × 7,343.36
  4. Step 4: Simplify right side
    10,830.94x = 119,295,526.81
  5. Step 5: Solve for x
    x = 119,295,526.81/10,830.94
  6. Step 6: Final answer
    x = 11,014.33

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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.