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Finding the Fourth Proportional to 10,689.75, 16,038.09 and 5,143.53

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Solution

The fourth proportional to 10,689.75, 16,038.09 and 5,143.53 is: 7,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.75 : 16,038.09 = 5,143.53 : x
  2. Step 2: Convert to fraction form
    10,689.75/16,038.09 = 5,143.53/x
  3. Step 3: Cross multiply
    10,689.75x = 16,038.09 × 5,143.53
  4. Step 4: Simplify right side
    10,689.75x = 82,492,397.06
  5. Step 5: Solve for x
    x = 82,492,397.06/10,689.75
  6. Step 6: Final answer
    x = 7,716.96

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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.