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Finding the Fourth Proportional to 11,178.81, 15,426.86 and 6,986.25

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Solution

The fourth proportional to 11,178.81, 15,426.86 and 6,986.25 is: 9,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.81 : 15,426.86 = 6,986.25 : x
  2. Step 2: Convert to fraction form
    11,178.81/15,426.86 = 6,986.25/x
  3. Step 3: Cross multiply
    11,178.81x = 15,426.86 × 6,986.25
  4. Step 4: Simplify right side
    11,178.81x = 107,775,865.74
  5. Step 5: Solve for x
    x = 107,775,865.74/11,178.81
  6. Step 6: Final answer
    x = 9,641.09

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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.