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Finding the Fourth Proportional to 11,419.48, 15,752.10 and 8,443

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Solution

The fourth proportional to 11,419.48, 15,752.10 and 8,443 is: 11,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.48 : 15,752.10 = 8,443 : x
  2. Step 2: Convert to fraction form
    11,419.48/15,752.10 = 8,443/x
  3. Step 3: Cross multiply
    11,419.48x = 15,752.10 × 8,443
  4. Step 4: Simplify right side
    11,419.48x = 132,994,980.30
  5. Step 5: Solve for x
    x = 132,994,980.30/11,419.48
  6. Step 6: Final answer
    x = 11,646.33

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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.