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Finding the Fourth Proportional to 7,342.95, 11,007.19 and 4,702.96

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Solution

The fourth proportional to 7,342.95, 11,007.19 and 4,702.96 is: 7,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.95 : 11,007.19 = 4,702.96 : x
  2. Step 2: Convert to fraction form
    7,342.95/11,007.19 = 4,702.96/x
  3. Step 3: Cross multiply
    7,342.95x = 11,007.19 × 4,702.96
  4. Step 4: Simplify right side
    7,342.95x = 51,766,335.01
  5. Step 5: Solve for x
    x = 51,766,335.01/7,342.95
  6. Step 6: Final answer
    x = 7,049.80

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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.