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Finding the Fourth Proportional to 10,054.47, 13,859.82 and 7,926.20

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Solution

The fourth proportional to 10,054.47, 13,859.82 and 7,926.20 is: 10,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.47 : 13,859.82 = 7,926.20 : x
  2. Step 2: Convert to fraction form
    10,054.47/13,859.82 = 7,926.20/x
  3. Step 3: Cross multiply
    10,054.47x = 13,859.82 × 7,926.20
  4. Step 4: Simplify right side
    10,054.47x = 109,855,690.45
  5. Step 5: Solve for x
    x = 109,855,690.45/10,054.47
  6. Step 6: Final answer
    x = 10,926.05

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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.