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Finding the Fourth Proportional to 7,702.94, 10,630.38 and 4,345.88

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Solution

The fourth proportional to 7,702.94, 10,630.38 and 4,345.88 is: 5,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.94 : 10,630.38 = 4,345.88 : x
  2. Step 2: Convert to fraction form
    7,702.94/10,630.38 = 4,345.88/x
  3. Step 3: Cross multiply
    7,702.94x = 10,630.38 × 4,345.88
  4. Step 4: Simplify right side
    7,702.94x = 46,198,355.83
  5. Step 5: Solve for x
    x = 46,198,355.83/7,702.94
  6. Step 6: Final answer
    x = 5,997.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.