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Finding the Fourth Proportional to 11,656.64, 17,484.93 and 4,269.38

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Solution

The fourth proportional to 11,656.64, 17,484.93 and 4,269.38 is: 6,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.64 : 17,484.93 = 4,269.38 : x
  2. Step 2: Convert to fraction form
    11,656.64/17,484.93 = 4,269.38/x
  3. Step 3: Cross multiply
    11,656.64x = 17,484.93 × 4,269.38
  4. Step 4: Simplify right side
    11,656.64x = 74,649,723.02
  5. Step 5: Solve for x
    x = 74,649,723.02/11,656.64
  6. Step 6: Final answer
    x = 6,404.05

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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.