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Finding the Fourth Proportional to 10,576.25, 15,847.06 and 6,417.53

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Solution

The fourth proportional to 10,576.25, 15,847.06 and 6,417.53 is: 9,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.25 : 15,847.06 = 6,417.53 : x
  2. Step 2: Convert to fraction form
    10,576.25/15,847.06 = 6,417.53/x
  3. Step 3: Cross multiply
    10,576.25x = 15,847.06 × 6,417.53
  4. Step 4: Simplify right side
    10,576.25x = 101,699,003.71
  5. Step 5: Solve for x
    x = 101,699,003.71/10,576.25
  6. Step 6: Final answer
    x = 9,615.79

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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.