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Finding the Fourth Proportional to 11,646.54, 17,465.58 and 5,071.14

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Solution

The fourth proportional to 11,646.54, 17,465.58 and 5,071.14 is: 7,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.54 : 17,465.58 = 5,071.14 : x
  2. Step 2: Convert to fraction form
    11,646.54/17,465.58 = 5,071.14/x
  3. Step 3: Cross multiply
    11,646.54x = 17,465.58 × 5,071.14
  4. Step 4: Simplify right side
    11,646.54x = 88,570,401.36
  5. Step 5: Solve for x
    x = 88,570,401.36/11,646.54
  6. Step 6: Final answer
    x = 7,604.87

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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.