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Finding the Fourth Proportional to 10,689.84, 16,027.20 and 3,666.48

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Solution

The fourth proportional to 10,689.84, 16,027.20 and 3,666.48 is: 5,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.84 : 16,027.20 = 3,666.48 : x
  2. Step 2: Convert to fraction form
    10,689.84/16,027.20 = 3,666.48/x
  3. Step 3: Cross multiply
    10,689.84x = 16,027.20 × 3,666.48
  4. Step 4: Simplify right side
    10,689.84x = 58,763,408.26
  5. Step 5: Solve for x
    x = 58,763,408.26/10,689.84
  6. Step 6: Final answer
    x = 5,497.13

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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.