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Finding the Fourth Proportional to 11,888, 16,401.46 and 7,345.82

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Solution

The fourth proportional to 11,888, 16,401.46 and 7,345.82 is: 10,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888 : 16,401.46 = 7,345.82 : x
  2. Step 2: Convert to fraction form
    11,888/16,401.46 = 7,345.82/x
  3. Step 3: Cross multiply
    11,888x = 16,401.46 × 7,345.82
  4. Step 4: Simplify right side
    11,888x = 120,482,172.90
  5. Step 5: Solve for x
    x = 120,482,172.90/11,888
  6. Step 6: Final answer
    x = 10,134.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.