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Finding the Fourth Proportional to 10,576.64, 15,868.20 and 6,675.68

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Solution

The fourth proportional to 10,576.64, 15,868.20 and 6,675.68 is: 10,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.64 : 15,868.20 = 6,675.68 : x
  2. Step 2: Convert to fraction form
    10,576.64/15,868.20 = 6,675.68/x
  3. Step 3: Cross multiply
    10,576.64x = 15,868.20 × 6,675.68
  4. Step 4: Simplify right side
    10,576.64x = 105,931,025.38
  5. Step 5: Solve for x
    x = 105,931,025.38/10,576.64
  6. Step 6: Final answer
    x = 10,015.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.