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Finding the Fourth Proportional to 10,838.93, 16,261.67 and 7,682.47

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Solution

The fourth proportional to 10,838.93, 16,261.67 and 7,682.47 is: 11,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.93 : 16,261.67 = 7,682.47 : x
  2. Step 2: Convert to fraction form
    10,838.93/16,261.67 = 7,682.47/x
  3. Step 3: Cross multiply
    10,838.93x = 16,261.67 × 7,682.47
  4. Step 4: Simplify right side
    10,838.93x = 124,929,753.51
  5. Step 5: Solve for x
    x = 124,929,753.51/10,838.93
  6. Step 6: Final answer
    x = 11,526.03

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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.