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Finding the Fourth Proportional to 10,291.42, 14,196.94 and 6,508.21

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Solution

The fourth proportional to 10,291.42, 14,196.94 and 6,508.21 is: 8,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.42 : 14,196.94 = 6,508.21 : x
  2. Step 2: Convert to fraction form
    10,291.42/14,196.94 = 6,508.21/x
  3. Step 3: Cross multiply
    10,291.42x = 14,196.94 × 6,508.21
  4. Step 4: Simplify right side
    10,291.42x = 92,396,666.88
  5. Step 5: Solve for x
    x = 92,396,666.88/10,291.42
  6. Step 6: Final answer
    x = 8,978.03

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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.