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Finding the Fourth Proportional to 10,589.84, 15,886.14 and 3,195.05

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Solution

The fourth proportional to 10,589.84, 15,886.14 and 3,195.05 is: 4,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.84 : 15,886.14 = 3,195.05 : x
  2. Step 2: Convert to fraction form
    10,589.84/15,886.14 = 3,195.05/x
  3. Step 3: Cross multiply
    10,589.84x = 15,886.14 × 3,195.05
  4. Step 4: Simplify right side
    10,589.84x = 50,756,920.19
  5. Step 5: Solve for x
    x = 50,756,920.19/10,589.84
  6. Step 6: Final answer
    x = 4,792.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.