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Finding the Fourth Proportional to 11,429.80, 17,146.46 and 4,856

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Solution

The fourth proportional to 11,429.80, 17,146.46 and 4,856 is: 7,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.80 : 17,146.46 = 4,856 : x
  2. Step 2: Convert to fraction form
    11,429.80/17,146.46 = 4,856/x
  3. Step 3: Cross multiply
    11,429.80x = 17,146.46 × 4,856
  4. Step 4: Simplify right side
    11,429.80x = 83,263,209.76
  5. Step 5: Solve for x
    x = 83,263,209.76/11,429.80
  6. Step 6: Final answer
    x = 7,284.75

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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.