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Finding the Fourth Proportional to 10,006.10, 15,009.16 and 2,609.94

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Solution

The fourth proportional to 10,006.10, 15,009.16 and 2,609.94 is: 3,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.10 : 15,009.16 = 2,609.94 : x
  2. Step 2: Convert to fraction form
    10,006.10/15,009.16 = 2,609.94/x
  3. Step 3: Cross multiply
    10,006.10x = 15,009.16 × 2,609.94
  4. Step 4: Simplify right side
    10,006.10x = 39,173,007.05
  5. Step 5: Solve for x
    x = 39,173,007.05/10,006.10
  6. Step 6: Final answer
    x = 3,914.91

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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.