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Finding the Fourth Proportional to 7,881.63, 11,823.11 and 2,038.35

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Solution

The fourth proportional to 7,881.63, 11,823.11 and 2,038.35 is: 3,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.63 : 11,823.11 = 2,038.35 : x
  2. Step 2: Convert to fraction form
    7,881.63/11,823.11 = 2,038.35/x
  3. Step 3: Cross multiply
    7,881.63x = 11,823.11 × 2,038.35
  4. Step 4: Simplify right side
    7,881.63x = 24,099,626.08
  5. Step 5: Solve for x
    x = 24,099,626.08/7,881.63
  6. Step 6: Final answer
    x = 3,057.70

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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.