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Finding the Fourth Proportional to 10,712.25, 16,068.38 and 4,556.25

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Solution

The fourth proportional to 10,712.25, 16,068.38 and 4,556.25 is: 6,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.25 : 16,068.38 = 4,556.25 : x
  2. Step 2: Convert to fraction form
    10,712.25/16,068.38 = 4,556.25/x
  3. Step 3: Cross multiply
    10,712.25x = 16,068.38 × 4,556.25
  4. Step 4: Simplify right side
    10,712.25x = 73,211,533.59
  5. Step 5: Solve for x
    x = 73,211,533.59/10,712.25
  6. Step 6: Final answer
    x = 6,834.38

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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.