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Finding the Fourth Proportional to 10,689.76, 16,038.90 and 4,114.18

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Solution

The fourth proportional to 10,689.76, 16,038.90 and 4,114.18 is: 6,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.76 : 16,038.90 = 4,114.18 : x
  2. Step 2: Convert to fraction form
    10,689.76/16,038.90 = 4,114.18/x
  3. Step 3: Cross multiply
    10,689.76x = 16,038.90 × 4,114.18
  4. Step 4: Simplify right side
    10,689.76x = 65,986,901.03
  5. Step 5: Solve for x
    x = 65,986,901.03/10,689.76
  6. Step 6: Final answer
    x = 6,172.91

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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.