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Finding the Fourth Proportional to 6,265.86, 8,636.06 and 5,464.19

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Solution

The fourth proportional to 6,265.86, 8,636.06 and 5,464.19 is: 7,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.86 : 8,636.06 = 5,464.19 : x
  2. Step 2: Convert to fraction form
    6,265.86/8,636.06 = 5,464.19/x
  3. Step 3: Cross multiply
    6,265.86x = 8,636.06 × 5,464.19
  4. Step 4: Simplify right side
    6,265.86x = 47,189,002.19
  5. Step 5: Solve for x
    x = 47,189,002.19/6,265.86
  6. Step 6: Final answer
    x = 7,531.13

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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.