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Finding the Fourth Proportional to 7,776.09, 10,733.27 and 4,420.77

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Solution

The fourth proportional to 7,776.09, 10,733.27 and 4,420.77 is: 6,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.09 : 10,733.27 = 4,420.77 : x
  2. Step 2: Convert to fraction form
    7,776.09/10,733.27 = 4,420.77/x
  3. Step 3: Cross multiply
    7,776.09x = 10,733.27 × 4,420.77
  4. Step 4: Simplify right side
    7,776.09x = 47,449,318.02
  5. Step 5: Solve for x
    x = 47,449,318.02/7,776.09
  6. Step 6: Final answer
    x = 6,101.95

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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.