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Finding the Fourth Proportional to 7,916, 11,881.12 and 4,023.04

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Solution

The fourth proportional to 7,916, 11,881.12 and 4,023.04 is: 6,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916 : 11,881.12 = 4,023.04 : x
  2. Step 2: Convert to fraction form
    7,916/11,881.12 = 4,023.04/x
  3. Step 3: Cross multiply
    7,916x = 11,881.12 × 4,023.04
  4. Step 4: Simplify right side
    7,916x = 47,798,221.00
  5. Step 5: Solve for x
    x = 47,798,221.00/7,916
  6. Step 6: Final answer
    x = 6,038.18

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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.