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Finding the Fourth Proportional to 11,895.63, 16,415.19 and 6,590.94

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Solution

The fourth proportional to 11,895.63, 16,415.19 and 6,590.94 is: 9,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.63 : 16,415.19 = 6,590.94 : x
  2. Step 2: Convert to fraction form
    11,895.63/16,415.19 = 6,590.94/x
  3. Step 3: Cross multiply
    11,895.63x = 16,415.19 × 6,590.94
  4. Step 4: Simplify right side
    11,895.63x = 108,191,532.38
  5. Step 5: Solve for x
    x = 108,191,532.38/11,895.63
  6. Step 6: Final answer
    x = 9,095.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.