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Finding the Fourth Proportional to 7,803.12, 10,768.06 and 4,266.24

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Solution

The fourth proportional to 7,803.12, 10,768.06 and 4,266.24 is: 5,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.12 : 10,768.06 = 4,266.24 : x
  2. Step 2: Convert to fraction form
    7,803.12/10,768.06 = 4,266.24/x
  3. Step 3: Cross multiply
    7,803.12x = 10,768.06 × 4,266.24
  4. Step 4: Simplify right side
    7,803.12x = 45,939,128.29
  5. Step 5: Solve for x
    x = 45,939,128.29/7,803.12
  6. Step 6: Final answer
    x = 5,887.28

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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.