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Finding the Fourth Proportional to 10,820.44, 14,929.63 and 7,462.18

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Solution

The fourth proportional to 10,820.44, 14,929.63 and 7,462.18 is: 10,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.44 : 14,929.63 = 7,462.18 : x
  2. Step 2: Convert to fraction form
    10,820.44/14,929.63 = 7,462.18/x
  3. Step 3: Cross multiply
    10,820.44x = 14,929.63 × 7,462.18
  4. Step 4: Simplify right side
    10,820.44x = 111,407,628.37
  5. Step 5: Solve for x
    x = 111,407,628.37/10,820.44
  6. Step 6: Final answer
    x = 10,296.03

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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.