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Finding the Fourth Proportional to 7,449.93, 10,293.35 and 6,205.77

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Solution

The fourth proportional to 7,449.93, 10,293.35 and 6,205.77 is: 8,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.93 : 10,293.35 = 6,205.77 : x
  2. Step 2: Convert to fraction form
    7,449.93/10,293.35 = 6,205.77/x
  3. Step 3: Cross multiply
    7,449.93x = 10,293.35 × 6,205.77
  4. Step 4: Simplify right side
    7,449.93x = 63,878,131.60
  5. Step 5: Solve for x
    x = 63,878,131.60/7,449.93
  6. Step 6: Final answer
    x = 8,574.33

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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.