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Finding the Fourth Proportional to 11,595.65, 17,377.74 and 5,341.91

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Solution

The fourth proportional to 11,595.65, 17,377.74 and 5,341.91 is: 8,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.65 : 17,377.74 = 5,341.91 : x
  2. Step 2: Convert to fraction form
    11,595.65/17,377.74 = 5,341.91/x
  3. Step 3: Cross multiply
    11,595.65x = 17,377.74 × 5,341.91
  4. Step 4: Simplify right side
    11,595.65x = 92,830,236.19
  5. Step 5: Solve for x
    x = 92,830,236.19/11,595.65
  6. Step 6: Final answer
    x = 8,005.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.