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Finding the Fourth Proportional to 7,862.16, 11,794.77 and 2,596.95

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Solution

The fourth proportional to 7,862.16, 11,794.77 and 2,596.95 is: 3,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.16 : 11,794.77 = 2,596.95 : x
  2. Step 2: Convert to fraction form
    7,862.16/11,794.77 = 2,596.95/x
  3. Step 3: Cross multiply
    7,862.16x = 11,794.77 × 2,596.95
  4. Step 4: Simplify right side
    7,862.16x = 30,630,427.95
  5. Step 5: Solve for x
    x = 30,630,427.95/7,862.16
  6. Step 6: Final answer
    x = 3,895.93

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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.