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Finding the Fourth Proportional to 10,872.23, 15,004.85 and 6,156

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Solution

The fourth proportional to 10,872.23, 15,004.85 and 6,156 is: 8,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.23 : 15,004.85 = 6,156 : x
  2. Step 2: Convert to fraction form
    10,872.23/15,004.85 = 6,156/x
  3. Step 3: Cross multiply
    10,872.23x = 15,004.85 × 6,156
  4. Step 4: Simplify right side
    10,872.23x = 92,369,825.82
  5. Step 5: Solve for x
    x = 92,369,825.82/10,872.23
  6. Step 6: Final answer
    x = 8,495.95

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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.