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Finding the Fourth Proportional to 11,479.25, 15,841.39 and 6,443

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Solution

The fourth proportional to 11,479.25, 15,841.39 and 6,443 is: 8,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,479.25 : 15,841.39 = 6,443 : x
  2. Step 2: Convert to fraction form
    11,479.25/15,841.39 = 6,443/x
  3. Step 3: Cross multiply
    11,479.25x = 15,841.39 × 6,443
  4. Step 4: Simplify right side
    11,479.25x = 102,066,075.77
  5. Step 5: Solve for x
    x = 102,066,075.77/11,479.25
  6. Step 6: Final answer
    x = 8,891.35

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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.