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Finding the Fourth Proportional to 10,665.40, 16,006.81 and 7,548.43

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Solution

The fourth proportional to 10,665.40, 16,006.81 and 7,548.43 is: 11,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.40 : 16,006.81 = 7,548.43 : x
  2. Step 2: Convert to fraction form
    10,665.40/16,006.81 = 7,548.43/x
  3. Step 3: Cross multiply
    10,665.40x = 16,006.81 × 7,548.43
  4. Step 4: Simplify right side
    10,665.40x = 120,826,284.81
  5. Step 5: Solve for x
    x = 120,826,284.81/10,665.40
  6. Step 6: Final answer
    x = 11,328.81

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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.