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Finding the Fourth Proportional to 11,416.95, 17,125.27 and 3,097.74

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Solution

The fourth proportional to 11,416.95, 17,125.27 and 3,097.74 is: 4,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.95 : 17,125.27 = 3,097.74 : x
  2. Step 2: Convert to fraction form
    11,416.95/17,125.27 = 3,097.74/x
  3. Step 3: Cross multiply
    11,416.95x = 17,125.27 × 3,097.74
  4. Step 4: Simplify right side
    11,416.95x = 53,049,707.79
  5. Step 5: Solve for x
    x = 53,049,707.79/11,416.95
  6. Step 6: Final answer
    x = 4,646.57

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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.