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Finding the Fourth Proportional to 10,666.49, 15,998.11 and 4,095.77

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Solution

The fourth proportional to 10,666.49, 15,998.11 and 4,095.77 is: 6,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.49 : 15,998.11 = 4,095.77 : x
  2. Step 2: Convert to fraction form
    10,666.49/15,998.11 = 4,095.77/x
  3. Step 3: Cross multiply
    10,666.49x = 15,998.11 × 4,095.77
  4. Step 4: Simplify right side
    10,666.49x = 65,524,488.76
  5. Step 5: Solve for x
    x = 65,524,488.76/10,666.49
  6. Step 6: Final answer
    x = 6,143.03

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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.