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Finding the Fourth Proportional to 11,315.90, 16,938.32 and 7,141.47

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Solution

The fourth proportional to 11,315.90, 16,938.32 and 7,141.47 is: 10,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.90 : 16,938.32 = 7,141.47 : x
  2. Step 2: Convert to fraction form
    11,315.90/16,938.32 = 7,141.47/x
  3. Step 3: Cross multiply
    11,315.90x = 16,938.32 × 7,141.47
  4. Step 4: Simplify right side
    11,315.90x = 120,964,404.90
  5. Step 5: Solve for x
    x = 120,964,404.90/11,315.90
  6. Step 6: Final answer
    x = 10,689.77

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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.