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Finding the Fourth Proportional to 11,148.84, 16,695.92 and 7,846.47

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Solution

The fourth proportional to 11,148.84, 16,695.92 and 7,846.47 is: 11,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148.84 : 16,695.92 = 7,846.47 : x
  2. Step 2: Convert to fraction form
    11,148.84/16,695.92 = 7,846.47/x
  3. Step 3: Cross multiply
    11,148.84x = 16,695.92 × 7,846.47
  4. Step 4: Simplify right side
    11,148.84x = 131,004,055.02
  5. Step 5: Solve for x
    x = 131,004,055.02/11,148.84
  6. Step 6: Final answer
    x = 11,750.47

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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.