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Finding the Fourth Proportional to 10,170.52, 15,252.20 and 3,052.64

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Solution

The fourth proportional to 10,170.52, 15,252.20 and 3,052.64 is: 4,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.52 : 15,252.20 = 3,052.64 : x
  2. Step 2: Convert to fraction form
    10,170.52/15,252.20 = 3,052.64/x
  3. Step 3: Cross multiply
    10,170.52x = 15,252.20 × 3,052.64
  4. Step 4: Simplify right side
    10,170.52x = 46,559,475.81
  5. Step 5: Solve for x
    x = 46,559,475.81/10,170.52
  6. Step 6: Final answer
    x = 4,577.89

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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.