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Finding the Fourth Proportional to 6,172.98, 8,513.91 and 5,465.58

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Solution

The fourth proportional to 6,172.98, 8,513.91 and 5,465.58 is: 7,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.98 : 8,513.91 = 5,465.58 : x
  2. Step 2: Convert to fraction form
    6,172.98/8,513.91 = 5,465.58/x
  3. Step 3: Cross multiply
    6,172.98x = 8,513.91 × 5,465.58
  4. Step 4: Simplify right side
    6,172.98x = 46,533,456.22
  5. Step 5: Solve for x
    x = 46,533,456.22/6,172.98
  6. Step 6: Final answer
    x = 7,538.25

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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.