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Finding the Fourth Proportional to 10,334.10, 15,515.55 and 6,446.10

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Solution

The fourth proportional to 10,334.10, 15,515.55 and 6,446.10 is: 9,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.10 : 15,515.55 = 6,446.10 : x
  2. Step 2: Convert to fraction form
    10,334.10/15,515.55 = 6,446.10/x
  3. Step 3: Cross multiply
    10,334.10x = 15,515.55 × 6,446.10
  4. Step 4: Simplify right side
    10,334.10x = 100,014,786.86
  5. Step 5: Solve for x
    x = 100,014,786.86/10,334.10
  6. Step 6: Final answer
    x = 9,678.13

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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.