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Finding the Fourth Proportional to 10,646.36, 15,967.48 and 4,071

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Solution

The fourth proportional to 10,646.36, 15,967.48 and 4,071 is: 6,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.36 : 15,967.48 = 4,071 : x
  2. Step 2: Convert to fraction form
    10,646.36/15,967.48 = 4,071/x
  3. Step 3: Cross multiply
    10,646.36x = 15,967.48 × 4,071
  4. Step 4: Simplify right side
    10,646.36x = 65,003,611.08
  5. Step 5: Solve for x
    x = 65,003,611.08/10,646.36
  6. Step 6: Final answer
    x = 6,105.71

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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.