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Finding the Fourth Proportional to 10,915.66, 16,378.41 and 4,677.31

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Solution

The fourth proportional to 10,915.66, 16,378.41 and 4,677.31 is: 7,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.66 : 16,378.41 = 4,677.31 : x
  2. Step 2: Convert to fraction form
    10,915.66/16,378.41 = 4,677.31/x
  3. Step 3: Cross multiply
    10,915.66x = 16,378.41 × 4,677.31
  4. Step 4: Simplify right side
    10,915.66x = 76,606,900.88
  5. Step 5: Solve for x
    x = 76,606,900.88/10,915.66
  6. Step 6: Final answer
    x = 7,018.07

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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.