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Finding the Fourth Proportional to 8,470.86, 11,689.77 and 4,642.50

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Solution

The fourth proportional to 8,470.86, 11,689.77 and 4,642.50 is: 6,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.86 : 11,689.77 = 4,642.50 : x
  2. Step 2: Convert to fraction form
    8,470.86/11,689.77 = 4,642.50/x
  3. Step 3: Cross multiply
    8,470.86x = 11,689.77 × 4,642.50
  4. Step 4: Simplify right side
    8,470.86x = 54,269,757.23
  5. Step 5: Solve for x
    x = 54,269,757.23/8,470.86
  6. Step 6: Final answer
    x = 6,406.64

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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.