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Finding the Fourth Proportional to 10,430.84, 15,644.64 and 3,410.80

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Solution

The fourth proportional to 10,430.84, 15,644.64 and 3,410.80 is: 5,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.84 : 15,644.64 = 3,410.80 : x
  2. Step 2: Convert to fraction form
    10,430.84/15,644.64 = 3,410.80/x
  3. Step 3: Cross multiply
    10,430.84x = 15,644.64 × 3,410.80
  4. Step 4: Simplify right side
    10,430.84x = 53,360,738.11
  5. Step 5: Solve for x
    x = 53,360,738.11/10,430.84
  6. Step 6: Final answer
    x = 5,115.67

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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.