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Finding the Fourth Proportional to 10,466.16, 15,704.58 and 6,958.56

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Solution

The fourth proportional to 10,466.16, 15,704.58 and 6,958.56 is: 10,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.16 : 15,704.58 = 6,958.56 : x
  2. Step 2: Convert to fraction form
    10,466.16/15,704.58 = 6,958.56/x
  3. Step 3: Cross multiply
    10,466.16x = 15,704.58 × 6,958.56
  4. Step 4: Simplify right side
    10,466.16x = 109,281,262.20
  5. Step 5: Solve for x
    x = 109,281,262.20/10,466.16
  6. Step 6: Final answer
    x = 10,441.39

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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.