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Finding the Fourth Proportional to 10,222.72, 14,094.36 and 7,835.44

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Solution

The fourth proportional to 10,222.72, 14,094.36 and 7,835.44 is: 10,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.72 : 14,094.36 = 7,835.44 : x
  2. Step 2: Convert to fraction form
    10,222.72/14,094.36 = 7,835.44/x
  3. Step 3: Cross multiply
    10,222.72x = 14,094.36 × 7,835.44
  4. Step 4: Simplify right side
    10,222.72x = 110,435,512.12
  5. Step 5: Solve for x
    x = 110,435,512.12/10,222.72
  6. Step 6: Final answer
    x = 10,802.95

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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.