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Finding the Fourth Proportional to 7,872.51, 10,861.61 and 4,468.95

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Solution

The fourth proportional to 7,872.51, 10,861.61 and 4,468.95 is: 6,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.51 : 10,861.61 = 4,468.95 : x
  2. Step 2: Convert to fraction form
    7,872.51/10,861.61 = 4,468.95/x
  3. Step 3: Cross multiply
    7,872.51x = 10,861.61 × 4,468.95
  4. Step 4: Simplify right side
    7,872.51x = 48,539,969.66
  5. Step 5: Solve for x
    x = 48,539,969.66/7,872.51
  6. Step 6: Final answer
    x = 6,165.76

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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.