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Finding the Fourth Proportional to 10,896.68, 16,346.64 and 4,656.66

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Solution

The fourth proportional to 10,896.68, 16,346.64 and 4,656.66 is: 6,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.68 : 16,346.64 = 4,656.66 : x
  2. Step 2: Convert to fraction form
    10,896.68/16,346.64 = 4,656.66/x
  3. Step 3: Cross multiply
    10,896.68x = 16,346.64 × 4,656.66
  4. Step 4: Simplify right side
    10,896.68x = 76,120,700.78
  5. Step 5: Solve for x
    x = 76,120,700.78/10,896.68
  6. Step 6: Final answer
    x = 6,985.68

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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.