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Finding the Fourth Proportional to 8,296.33, 11,448.93 and 4,570.33

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Solution

The fourth proportional to 8,296.33, 11,448.93 and 4,570.33 is: 6,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.33 : 11,448.93 = 4,570.33 : x
  2. Step 2: Convert to fraction form
    8,296.33/11,448.93 = 4,570.33/x
  3. Step 3: Cross multiply
    8,296.33x = 11,448.93 × 4,570.33
  4. Step 4: Simplify right side
    8,296.33x = 52,325,388.25
  5. Step 5: Solve for x
    x = 52,325,388.25/8,296.33
  6. Step 6: Final answer
    x = 6,307.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.