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Finding the Fourth Proportional to 10,602.96, 15,900.39 and 5,052.06

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Solution

The fourth proportional to 10,602.96, 15,900.39 and 5,052.06 is: 7,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.96 : 15,900.39 = 5,052.06 : x
  2. Step 2: Convert to fraction form
    10,602.96/15,900.39 = 5,052.06/x
  3. Step 3: Cross multiply
    10,602.96x = 15,900.39 × 5,052.06
  4. Step 4: Simplify right side
    10,602.96x = 80,329,724.30
  5. Step 5: Solve for x
    x = 80,329,724.30/10,602.96
  6. Step 6: Final answer
    x = 7,576.16

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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.