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Finding the Fourth Proportional to 11,646.28, 17,462.40 and 5,066.92

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Solution

The fourth proportional to 11,646.28, 17,462.40 and 5,066.92 is: 7,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.28 : 17,462.40 = 5,066.92 : x
  2. Step 2: Convert to fraction form
    11,646.28/17,462.40 = 5,066.92/x
  3. Step 3: Cross multiply
    11,646.28x = 17,462.40 × 5,066.92
  4. Step 4: Simplify right side
    11,646.28x = 88,480,583.81
  5. Step 5: Solve for x
    x = 88,480,583.81/11,646.28
  6. Step 6: Final answer
    x = 7,597.33

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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.