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Finding the Fourth Proportional to 11,597.63, 17,397.58 and 3,277.71

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Solution

The fourth proportional to 11,597.63, 17,397.58 and 3,277.71 is: 4,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.63 : 17,397.58 = 3,277.71 : x
  2. Step 2: Convert to fraction form
    11,597.63/17,397.58 = 3,277.71/x
  3. Step 3: Cross multiply
    11,597.63x = 17,397.58 × 3,277.71
  4. Step 4: Simplify right side
    11,597.63x = 57,024,221.94
  5. Step 5: Solve for x
    x = 57,024,221.94/11,597.63
  6. Step 6: Final answer
    x = 4,916.89

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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.