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Finding the Fourth Proportional to 10,476.75, 15,716.07 and 2,685.63

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Solution

The fourth proportional to 10,476.75, 15,716.07 and 2,685.63 is: 4,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.75 : 15,716.07 = 2,685.63 : x
  2. Step 2: Convert to fraction form
    10,476.75/15,716.07 = 2,685.63/x
  3. Step 3: Cross multiply
    10,476.75x = 15,716.07 × 2,685.63
  4. Step 4: Simplify right side
    10,476.75x = 42,207,549.07
  5. Step 5: Solve for x
    x = 42,207,549.07/10,476.75
  6. Step 6: Final answer
    x = 4,028.69

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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.