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Finding the Fourth Proportional to 7,702.79, 10,630.31 and 4,344.35

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Solution

The fourth proportional to 7,702.79, 10,630.31 and 4,344.35 is: 5,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.79 : 10,630.31 = 4,344.35 : x
  2. Step 2: Convert to fraction form
    7,702.79/10,630.31 = 4,344.35/x
  3. Step 3: Cross multiply
    7,702.79x = 10,630.31 × 4,344.35
  4. Step 4: Simplify right side
    7,702.79x = 46,181,712.38
  5. Step 5: Solve for x
    x = 46,181,712.38/7,702.79
  6. Step 6: Final answer
    x = 5,995.46

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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.