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Finding the Fourth Proportional to 10,689.96, 16,038.20 and 7,575.99

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Solution

The fourth proportional to 10,689.96, 16,038.20 and 7,575.99 is: 11,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.96 : 16,038.20 = 7,575.99 : x
  2. Step 2: Convert to fraction form
    10,689.96/16,038.20 = 7,575.99/x
  3. Step 3: Cross multiply
    10,689.96x = 16,038.20 × 7,575.99
  4. Step 4: Simplify right side
    10,689.96x = 121,505,204.94
  5. Step 5: Solve for x
    x = 121,505,204.94/10,689.96
  6. Step 6: Final answer
    x = 11,366.29

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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.