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Finding the Fourth Proportional to 11,572.47, 17,356.50 and 5,643.42

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Solution

The fourth proportional to 11,572.47, 17,356.50 and 5,643.42 is: 8,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.47 : 17,356.50 = 5,643.42 : x
  2. Step 2: Convert to fraction form
    11,572.47/17,356.50 = 5,643.42/x
  3. Step 3: Cross multiply
    11,572.47x = 17,356.50 × 5,643.42
  4. Step 4: Simplify right side
    11,572.47x = 97,950,019.23
  5. Step 5: Solve for x
    x = 97,950,019.23/11,572.47
  6. Step 6: Final answer
    x = 8,464.05

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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.