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Finding the Fourth Proportional to 10,892.68, 16,345.32 and 5,048.98

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Solution

The fourth proportional to 10,892.68, 16,345.32 and 5,048.98 is: 7,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.68 : 16,345.32 = 5,048.98 : x
  2. Step 2: Convert to fraction form
    10,892.68/16,345.32 = 5,048.98/x
  3. Step 3: Cross multiply
    10,892.68x = 16,345.32 × 5,048.98
  4. Step 4: Simplify right side
    10,892.68x = 82,527,193.77
  5. Step 5: Solve for x
    x = 82,527,193.77/10,892.68
  6. Step 6: Final answer
    x = 7,576.39

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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.