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Finding the Fourth Proportional to 6,821.76, 10,237.50 and 2,927.28

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Solution

The fourth proportional to 6,821.76, 10,237.50 and 2,927.28 is: 4,393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.76 : 10,237.50 = 2,927.28 : x
  2. Step 2: Convert to fraction form
    6,821.76/10,237.50 = 2,927.28/x
  3. Step 3: Cross multiply
    6,821.76x = 10,237.50 × 2,927.28
  4. Step 4: Simplify right side
    6,821.76x = 29,968,029.00
  5. Step 5: Solve for x
    x = 29,968,029.00/6,821.76
  6. Step 6: Final answer
    x = 4,393.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.