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Finding the Fourth Proportional to 10,604.35, 15,904.46 and 3,207.07

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Solution

The fourth proportional to 10,604.35, 15,904.46 and 3,207.07 is: 4,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.35 : 15,904.46 = 3,207.07 : x
  2. Step 2: Convert to fraction form
    10,604.35/15,904.46 = 3,207.07/x
  3. Step 3: Cross multiply
    10,604.35x = 15,904.46 × 3,207.07
  4. Step 4: Simplify right side
    10,604.35x = 51,006,744.43
  5. Step 5: Solve for x
    x = 51,006,744.43/10,604.35
  6. Step 6: Final answer
    x = 4,809.98

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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.