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Finding the Fourth Proportional to 10,448.83, 14,421.36 and 7,926.49

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Solution

The fourth proportional to 10,448.83, 14,421.36 and 7,926.49 is: 10,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.83 : 14,421.36 = 7,926.49 : x
  2. Step 2: Convert to fraction form
    10,448.83/14,421.36 = 7,926.49/x
  3. Step 3: Cross multiply
    10,448.83x = 14,421.36 × 7,926.49
  4. Step 4: Simplify right side
    10,448.83x = 114,310,765.83
  5. Step 5: Solve for x
    x = 114,310,765.83/10,448.83
  6. Step 6: Final answer
    x = 10,940.05

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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.