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Finding the Fourth Proportional to 11,590.18, 17,385.09 and 4,664.50

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Solution

The fourth proportional to 11,590.18, 17,385.09 and 4,664.50 is: 6,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.18 : 17,385.09 = 4,664.50 : x
  2. Step 2: Convert to fraction form
    11,590.18/17,385.09 = 4,664.50/x
  3. Step 3: Cross multiply
    11,590.18x = 17,385.09 × 4,664.50
  4. Step 4: Simplify right side
    11,590.18x = 81,092,752.31
  5. Step 5: Solve for x
    x = 81,092,752.31/11,590.18
  6. Step 6: Final answer
    x = 6,996.68

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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.