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Finding the Fourth Proportional to 11,412.74, 15,635.15 and 10,986.30

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Solution

The fourth proportional to 11,412.74, 15,635.15 and 10,986.30 is: 15,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.74 : 15,635.15 = 10,986.30 : x
  2. Step 2: Convert to fraction form
    11,412.74/15,635.15 = 10,986.30/x
  3. Step 3: Cross multiply
    11,412.74x = 15,635.15 × 10,986.30
  4. Step 4: Simplify right side
    11,412.74x = 171,772,393.51
  5. Step 5: Solve for x
    x = 171,772,393.51/11,412.74
  6. Step 6: Final answer
    x = 15,050.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.