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Finding the Fourth Proportional to 7,872.24, 11,798.28 and 3,703.02

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Solution

The fourth proportional to 7,872.24, 11,798.28 and 3,703.02 is: 5,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.24 : 11,798.28 = 3,703.02 : x
  2. Step 2: Convert to fraction form
    7,872.24/11,798.28 = 3,703.02/x
  3. Step 3: Cross multiply
    7,872.24x = 11,798.28 × 3,703.02
  4. Step 4: Simplify right side
    7,872.24x = 43,689,266.81
  5. Step 5: Solve for x
    x = 43,689,266.81/7,872.24
  6. Step 6: Final answer
    x = 5,549.79

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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.