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Finding the Fourth Proportional to 7,702.57, 10,632.27 and 4,558.75

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Solution

The fourth proportional to 7,702.57, 10,632.27 and 4,558.75 is: 6,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.57 : 10,632.27 = 4,558.75 : x
  2. Step 2: Convert to fraction form
    7,702.57/10,632.27 = 4,558.75/x
  3. Step 3: Cross multiply
    7,702.57x = 10,632.27 × 4,558.75
  4. Step 4: Simplify right side
    7,702.57x = 48,469,860.86
  5. Step 5: Solve for x
    x = 48,469,860.86/7,702.57
  6. Step 6: Final answer
    x = 6,292.69

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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.