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Finding the Fourth Proportional to 8,038.49, 12,042.75 and 4,741.79

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Solution

The fourth proportional to 8,038.49, 12,042.75 and 4,741.79 is: 7,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.49 : 12,042.75 = 4,741.79 : x
  2. Step 2: Convert to fraction form
    8,038.49/12,042.75 = 4,741.79/x
  3. Step 3: Cross multiply
    8,038.49x = 12,042.75 × 4,741.79
  4. Step 4: Simplify right side
    8,038.49x = 57,104,191.52
  5. Step 5: Solve for x
    x = 57,104,191.52/8,038.49
  6. Step 6: Final answer
    x = 7,103.85

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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.