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Finding the Fourth Proportional to 11,632.10, 16,048.67 and 6,595.92

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Solution

The fourth proportional to 11,632.10, 16,048.67 and 6,595.92 is: 9,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.10 : 16,048.67 = 6,595.92 : x
  2. Step 2: Convert to fraction form
    11,632.10/16,048.67 = 6,595.92/x
  3. Step 3: Cross multiply
    11,632.10x = 16,048.67 × 6,595.92
  4. Step 4: Simplify right side
    11,632.10x = 105,855,743.43
  5. Step 5: Solve for x
    x = 105,855,743.43/11,632.10
  6. Step 6: Final answer
    x = 9,100.31

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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.