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Finding the Fourth Proportional to 7,702.26, 10,628.34 and 4,470.96

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Solution

The fourth proportional to 7,702.26, 10,628.34 and 4,470.96 is: 6,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.26 : 10,628.34 = 4,470.96 : x
  2. Step 2: Convert to fraction form
    7,702.26/10,628.34 = 4,470.96/x
  3. Step 3: Cross multiply
    7,702.26x = 10,628.34 × 4,470.96
  4. Step 4: Simplify right side
    7,702.26x = 47,518,883.01
  5. Step 5: Solve for x
    x = 47,518,883.01/7,702.26
  6. Step 6: Final answer
    x = 6,169.47

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