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Finding the Fourth Proportional to 7,095.42, 10,644 and 3,968.70

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Solution

The fourth proportional to 7,095.42, 10,644 and 3,968.70 is: 5,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.42 : 10,644 = 3,968.70 : x
  2. Step 2: Convert to fraction form
    7,095.42/10,644 = 3,968.70/x
  3. Step 3: Cross multiply
    7,095.42x = 10,644 × 3,968.70
  4. Step 4: Simplify right side
    7,095.42x = 42,242,842.80
  5. Step 5: Solve for x
    x = 42,242,842.80/7,095.42
  6. Step 6: Final answer
    x = 5,953.54

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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.