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Finding the Fourth Proportional to 10,756.94, 14,844.50 and 6,219.52

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Solution

The fourth proportional to 10,756.94, 14,844.50 and 6,219.52 is: 8,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.94 : 14,844.50 = 6,219.52 : x
  2. Step 2: Convert to fraction form
    10,756.94/14,844.50 = 6,219.52/x
  3. Step 3: Cross multiply
    10,756.94x = 14,844.50 × 6,219.52
  4. Step 4: Simplify right side
    10,756.94x = 92,325,664.64
  5. Step 5: Solve for x
    x = 92,325,664.64/10,756.94
  6. Step 6: Final answer
    x = 8,582.89

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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.