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Finding the Fourth Proportional to 7,894.26, 11,830.95 and 4,188.60

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Solution

The fourth proportional to 7,894.26, 11,830.95 and 4,188.60 is: 6,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.26 : 11,830.95 = 4,188.60 : x
  2. Step 2: Convert to fraction form
    7,894.26/11,830.95 = 4,188.60/x
  3. Step 3: Cross multiply
    7,894.26x = 11,830.95 × 4,188.60
  4. Step 4: Simplify right side
    7,894.26x = 49,555,117.17
  5. Step 5: Solve for x
    x = 49,555,117.17/7,894.26
  6. Step 6: Final answer
    x = 6,277.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.