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Finding the Fourth Proportional to 10,054.96, 13,859.84 and 7,927.02

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Solution

The fourth proportional to 10,054.96, 13,859.84 and 7,927.02 is: 10,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.96 : 13,859.84 = 7,927.02 : x
  2. Step 2: Convert to fraction form
    10,054.96/13,859.84 = 7,927.02/x
  3. Step 3: Cross multiply
    10,054.96x = 13,859.84 × 7,927.02
  4. Step 4: Simplify right side
    10,054.96x = 109,867,228.88
  5. Step 5: Solve for x
    x = 109,867,228.88/10,054.96
  6. Step 6: Final answer
    x = 10,926.67

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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.