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Finding the Fourth Proportional to 7,803, 10,768.16 and 4,266.24

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Solution

The fourth proportional to 7,803, 10,768.16 and 4,266.24 is: 5,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803 : 10,768.16 = 4,266.24 : x
  2. Step 2: Convert to fraction form
    7,803/10,768.16 = 4,266.24/x
  3. Step 3: Cross multiply
    7,803x = 10,768.16 × 4,266.24
  4. Step 4: Simplify right side
    7,803x = 45,939,554.92
  5. Step 5: Solve for x
    x = 45,939,554.92/7,803
  6. Step 6: Final answer
    x = 5,887.42

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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.