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Finding the Fourth Proportional to 11,386.95, 17,074.96 and 6,455.27

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Solution

The fourth proportional to 11,386.95, 17,074.96 and 6,455.27 is: 9,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.95 : 17,074.96 = 6,455.27 : x
  2. Step 2: Convert to fraction form
    11,386.95/17,074.96 = 6,455.27/x
  3. Step 3: Cross multiply
    11,386.95x = 17,074.96 × 6,455.27
  4. Step 4: Simplify right side
    11,386.95x = 110,223,359.39
  5. Step 5: Solve for x
    x = 110,223,359.39/11,386.95
  6. Step 6: Final answer
    x = 9,679.80

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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.