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Finding the Fourth Proportional to 10,965, 16,449.28 and 4,297.88

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Solution

The fourth proportional to 10,965, 16,449.28 and 4,297.88 is: 6,447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965 : 16,449.28 = 4,297.88 : x
  2. Step 2: Convert to fraction form
    10,965/16,449.28 = 4,297.88/x
  3. Step 3: Cross multiply
    10,965x = 16,449.28 × 4,297.88
  4. Step 4: Simplify right side
    10,965x = 70,697,031.53
  5. Step 5: Solve for x
    x = 70,697,031.53/10,965
  6. Step 6: Final answer
    x = 6,447.52

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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.