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Finding the Fourth Proportional to 10,291.47, 14,191.84 and 8,396.98

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Solution

The fourth proportional to 10,291.47, 14,191.84 and 8,396.98 is: 11,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.47 : 14,191.84 = 8,396.98 : x
  2. Step 2: Convert to fraction form
    10,291.47/14,191.84 = 8,396.98/x
  3. Step 3: Cross multiply
    10,291.47x = 14,191.84 × 8,396.98
  4. Step 4: Simplify right side
    10,291.47x = 119,168,571.66
  5. Step 5: Solve for x
    x = 119,168,571.66/10,291.47
  6. Step 6: Final answer
    x = 11,579.36

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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.