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Finding the Fourth Proportional to 10,118.72, 13,965.60 and 7,724.76

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Solution

The fourth proportional to 10,118.72, 13,965.60 and 7,724.76 is: 10,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.72 : 13,965.60 = 7,724.76 : x
  2. Step 2: Convert to fraction form
    10,118.72/13,965.60 = 7,724.76/x
  3. Step 3: Cross multiply
    10,118.72x = 13,965.60 × 7,724.76
  4. Step 4: Simplify right side
    10,118.72x = 107,880,908.26
  5. Step 5: Solve for x
    x = 107,880,908.26/10,118.72
  6. Step 6: Final answer
    x = 10,661.52

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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.