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Finding the Fourth Proportional to 6,407.07, 8,841.48 and 4,727.87

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Solution

The fourth proportional to 6,407.07, 8,841.48 and 4,727.87 is: 6,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.07 : 8,841.48 = 4,727.87 : x
  2. Step 2: Convert to fraction form
    6,407.07/8,841.48 = 4,727.87/x
  3. Step 3: Cross multiply
    6,407.07x = 8,841.48 × 4,727.87
  4. Step 4: Simplify right side
    6,407.07x = 41,801,368.05
  5. Step 5: Solve for x
    x = 41,801,368.05/6,407.07
  6. Step 6: Final answer
    x = 6,524.26

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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.