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Finding the Fourth Proportional to 7,167.84, 9,892.64 and 4,024.24

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Solution

The fourth proportional to 7,167.84, 9,892.64 and 4,024.24 is: 5,554.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.84 : 9,892.64 = 4,024.24 : x
  2. Step 2: Convert to fraction form
    7,167.84/9,892.64 = 4,024.24/x
  3. Step 3: Cross multiply
    7,167.84x = 9,892.64 × 4,024.24
  4. Step 4: Simplify right side
    7,167.84x = 39,810,357.59
  5. Step 5: Solve for x
    x = 39,810,357.59/7,167.84
  6. Step 6: Final answer
    x = 5,554.02

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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.