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Finding the Fourth Proportional to 7,302.85, 10,945.12 and 3,137.91

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Solution

The fourth proportional to 7,302.85, 10,945.12 and 3,137.91 is: 4,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.85 : 10,945.12 = 3,137.91 : x
  2. Step 2: Convert to fraction form
    7,302.85/10,945.12 = 3,137.91/x
  3. Step 3: Cross multiply
    7,302.85x = 10,945.12 × 3,137.91
  4. Step 4: Simplify right side
    7,302.85x = 34,344,801.50
  5. Step 5: Solve for x
    x = 34,344,801.50/7,302.85
  6. Step 6: Final answer
    x = 4,702.93

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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.