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Finding the Fourth Proportional to 11,429.57, 15,762.54 and 7,181.03

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Solution

The fourth proportional to 11,429.57, 15,762.54 and 7,181.03 is: 9,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.57 : 15,762.54 = 7,181.03 : x
  2. Step 2: Convert to fraction form
    11,429.57/15,762.54 = 7,181.03/x
  3. Step 3: Cross multiply
    11,429.57x = 15,762.54 × 7,181.03
  4. Step 4: Simplify right side
    11,429.57x = 113,191,272.62
  5. Step 5: Solve for x
    x = 113,191,272.62/11,429.57
  6. Step 6: Final answer
    x = 9,903.37

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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.