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Finding the Fourth Proportional to 11,653.34, 16,087.71 and 9,095.61

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Solution

The fourth proportional to 11,653.34, 16,087.71 and 9,095.61 is: 12,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.34 : 16,087.71 = 9,095.61 : x
  2. Step 2: Convert to fraction form
    11,653.34/16,087.71 = 9,095.61/x
  3. Step 3: Cross multiply
    11,653.34x = 16,087.71 × 9,095.61
  4. Step 4: Simplify right side
    11,653.34x = 146,327,530.69
  5. Step 5: Solve for x
    x = 146,327,530.69/11,653.34
  6. Step 6: Final answer
    x = 12,556.70

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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.