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Finding the Fourth Proportional to 7,152.44, 10,735.94 and 4,931.42

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Solution

The fourth proportional to 7,152.44, 10,735.94 and 4,931.42 is: 7,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.44 : 10,735.94 = 4,931.42 : x
  2. Step 2: Convert to fraction form
    7,152.44/10,735.94 = 4,931.42/x
  3. Step 3: Cross multiply
    7,152.44x = 10,735.94 × 4,931.42
  4. Step 4: Simplify right side
    7,152.44x = 52,943,387.88
  5. Step 5: Solve for x
    x = 52,943,387.88/7,152.44
  6. Step 6: Final answer
    x = 7,402.15

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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.