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Finding the Fourth Proportional to 8,432.68, 11,637.76 and 4,895.80

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Solution

The fourth proportional to 8,432.68, 11,637.76 and 4,895.80 is: 6,756.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.68 : 11,637.76 = 4,895.80 : x
  2. Step 2: Convert to fraction form
    8,432.68/11,637.76 = 4,895.80/x
  3. Step 3: Cross multiply
    8,432.68x = 11,637.76 × 4,895.80
  4. Step 4: Simplify right side
    8,432.68x = 56,976,145.41
  5. Step 5: Solve for x
    x = 56,976,145.41/8,432.68
  6. Step 6: Final answer
    x = 6,756.59

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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.