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Finding the Fourth Proportional to 11,574.12, 15,972.60 and 7,100.34

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Solution

The fourth proportional to 11,574.12, 15,972.60 and 7,100.34 is: 9,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.12 : 15,972.60 = 7,100.34 : x
  2. Step 2: Convert to fraction form
    11,574.12/15,972.60 = 7,100.34/x
  3. Step 3: Cross multiply
    11,574.12x = 15,972.60 × 7,100.34
  4. Step 4: Simplify right side
    11,574.12x = 113,410,890.68
  5. Step 5: Solve for x
    x = 113,410,890.68/11,574.12
  6. Step 6: Final answer
    x = 9,798.66

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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.