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Finding the Fourth Proportional to 11,953.23, 16,495.85 and 6,575.89

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Solution

The fourth proportional to 11,953.23, 16,495.85 and 6,575.89 is: 9,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.23 : 16,495.85 = 6,575.89 : x
  2. Step 2: Convert to fraction form
    11,953.23/16,495.85 = 6,575.89/x
  3. Step 3: Cross multiply
    11,953.23x = 16,495.85 × 6,575.89
  4. Step 4: Simplify right side
    11,953.23x = 108,474,895.06
  5. Step 5: Solve for x
    x = 108,474,895.06/11,953.23
  6. Step 6: Final answer
    x = 9,074.94

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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.