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Finding the Fourth Proportional to 7,848.81, 11,773.20 and 2,005.41

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Solution

The fourth proportional to 7,848.81, 11,773.20 and 2,005.41 is: 3,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.81 : 11,773.20 = 2,005.41 : x
  2. Step 2: Convert to fraction form
    7,848.81/11,773.20 = 2,005.41/x
  3. Step 3: Cross multiply
    7,848.81x = 11,773.20 × 2,005.41
  4. Step 4: Simplify right side
    7,848.81x = 23,610,093.01
  5. Step 5: Solve for x
    x = 23,610,093.01/7,848.81
  6. Step 6: Final answer
    x = 3,008.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.