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Finding the Fourth Proportional to 10,406.40, 15,609.36 and 4,859.04

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Solution

The fourth proportional to 10,406.40, 15,609.36 and 4,859.04 is: 7,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.40 : 15,609.36 = 4,859.04 : x
  2. Step 2: Convert to fraction form
    10,406.40/15,609.36 = 4,859.04/x
  3. Step 3: Cross multiply
    10,406.40x = 15,609.36 × 4,859.04
  4. Step 4: Simplify right side
    10,406.40x = 75,846,504.61
  5. Step 5: Solve for x
    x = 75,846,504.61/10,406.40
  6. Step 6: Final answer
    x = 7,288.45

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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.