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Finding the Fourth Proportional to 11,570.29, 17,352.25 and 5,643.98

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Solution

The fourth proportional to 11,570.29, 17,352.25 and 5,643.98 is: 8,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.29 : 17,352.25 = 5,643.98 : x
  2. Step 2: Convert to fraction form
    11,570.29/17,352.25 = 5,643.98/x
  3. Step 3: Cross multiply
    11,570.29x = 17,352.25 × 5,643.98
  4. Step 4: Simplify right side
    11,570.29x = 97,935,732.03
  5. Step 5: Solve for x
    x = 97,935,732.03/11,570.29
  6. Step 6: Final answer
    x = 8,464.41

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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.