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Finding the Fourth Proportional to 10,381.87, 15,568.71 and 4,534.39

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Solution

The fourth proportional to 10,381.87, 15,568.71 and 4,534.39 is: 6,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.87 : 15,568.71 = 4,534.39 : x
  2. Step 2: Convert to fraction form
    10,381.87/15,568.71 = 4,534.39/x
  3. Step 3: Cross multiply
    10,381.87x = 15,568.71 × 4,534.39
  4. Step 4: Simplify right side
    10,381.87x = 70,594,602.94
  5. Step 5: Solve for x
    x = 70,594,602.94/10,381.87
  6. Step 6: Final answer
    x = 6,799.80

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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.