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Finding the Fourth Proportional to 6,403.86, 8,827.65 and 5,004.18

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Solution

The fourth proportional to 6,403.86, 8,827.65 and 5,004.18 is: 6,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.86 : 8,827.65 = 5,004.18 : x
  2. Step 2: Convert to fraction form
    6,403.86/8,827.65 = 5,004.18/x
  3. Step 3: Cross multiply
    6,403.86x = 8,827.65 × 5,004.18
  4. Step 4: Simplify right side
    6,403.86x = 44,175,149.58
  5. Step 5: Solve for x
    x = 44,175,149.58/6,403.86
  6. Step 6: Final answer
    x = 6,898.21

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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.