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Finding the Fourth Proportional to 7,881.93, 11,823.30 and 2,038.59

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Solution

The fourth proportional to 7,881.93, 11,823.30 and 2,038.59 is: 3,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.93 : 11,823.30 = 2,038.59 : x
  2. Step 2: Convert to fraction form
    7,881.93/11,823.30 = 2,038.59/x
  3. Step 3: Cross multiply
    7,881.93x = 11,823.30 × 2,038.59
  4. Step 4: Simplify right side
    7,881.93x = 24,102,861.15
  5. Step 5: Solve for x
    x = 24,102,861.15/7,881.93
  6. Step 6: Final answer
    x = 3,057.99

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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.