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Finding the Fourth Proportional to 11,604.10, 16,013.49 and 6,569.28

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Solution

The fourth proportional to 11,604.10, 16,013.49 and 6,569.28 is: 9,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.10 : 16,013.49 = 6,569.28 : x
  2. Step 2: Convert to fraction form
    11,604.10/16,013.49 = 6,569.28/x
  3. Step 3: Cross multiply
    11,604.10x = 16,013.49 × 6,569.28
  4. Step 4: Simplify right side
    11,604.10x = 105,197,099.59
  5. Step 5: Solve for x
    x = 105,197,099.59/11,604.10
  6. Step 6: Final answer
    x = 9,065.51

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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.