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Finding the Fourth Proportional to 10,421, 14,380.98 and 7,770.68

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Solution

The fourth proportional to 10,421, 14,380.98 and 7,770.68 is: 10,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421 : 14,380.98 = 7,770.68 : x
  2. Step 2: Convert to fraction form
    10,421/14,380.98 = 7,770.68/x
  3. Step 3: Cross multiply
    10,421x = 14,380.98 × 7,770.68
  4. Step 4: Simplify right side
    10,421x = 111,749,993.67
  5. Step 5: Solve for x
    x = 111,749,993.67/10,421
  6. Step 6: Final answer
    x = 10,723.54

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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.