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Finding the Fourth Proportional to 10,476.90, 15,715.31 and 4,236.84

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Solution

The fourth proportional to 10,476.90, 15,715.31 and 4,236.84 is: 6,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.90 : 15,715.31 = 4,236.84 : x
  2. Step 2: Convert to fraction form
    10,476.90/15,715.31 = 4,236.84/x
  3. Step 3: Cross multiply
    10,476.90x = 15,715.31 × 4,236.84
  4. Step 4: Simplify right side
    10,476.90x = 66,583,232.84
  5. Step 5: Solve for x
    x = 66,583,232.84/10,476.90
  6. Step 6: Final answer
    x = 6,355.24

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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.