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Finding the Fourth Proportional to 10,244.95, 14,138.06 and 5,768.70

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Solution

The fourth proportional to 10,244.95, 14,138.06 and 5,768.70 is: 7,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.95 : 14,138.06 = 5,768.70 : x
  2. Step 2: Convert to fraction form
    10,244.95/14,138.06 = 5,768.70/x
  3. Step 3: Cross multiply
    10,244.95x = 14,138.06 × 5,768.70
  4. Step 4: Simplify right side
    10,244.95x = 81,558,226.72
  5. Step 5: Solve for x
    x = 81,558,226.72/10,244.95
  6. Step 6: Final answer
    x = 7,960.82

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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.