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Finding the Fourth Proportional to 10,825.85, 14,937.53 and 6,109.22

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Solution

The fourth proportional to 10,825.85, 14,937.53 and 6,109.22 is: 8,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.85 : 14,937.53 = 6,109.22 : x
  2. Step 2: Convert to fraction form
    10,825.85/14,937.53 = 6,109.22/x
  3. Step 3: Cross multiply
    10,825.85x = 14,937.53 × 6,109.22
  4. Step 4: Simplify right side
    10,825.85x = 91,256,663.82
  5. Step 5: Solve for x
    x = 91,256,663.82/10,825.85
  6. Step 6: Final answer
    x = 8,429.51

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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.