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Finding the Fourth Proportional to 10,374.88, 15,536.40 and 6,467.44

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Solution

The fourth proportional to 10,374.88, 15,536.40 and 6,467.44 is: 9,685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.88 : 15,536.40 = 6,467.44 : x
  2. Step 2: Convert to fraction form
    10,374.88/15,536.40 = 6,467.44/x
  3. Step 3: Cross multiply
    10,374.88x = 15,536.40 × 6,467.44
  4. Step 4: Simplify right side
    10,374.88x = 100,480,734.82
  5. Step 5: Solve for x
    x = 100,480,734.82/10,374.88
  6. Step 6: Final answer
    x = 9,685.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.