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Finding the Fourth Proportional to 7,189.47, 10,851.72 and 7,189.47

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Solution

The fourth proportional to 7,189.47, 10,851.72 and 7,189.47 is: 10,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.47 : 10,851.72 = 7,189.47 : x
  2. Step 2: Convert to fraction form
    7,189.47/10,851.72 = 7,189.47/x
  3. Step 3: Cross multiply
    7,189.47x = 10,851.72 × 7,189.47
  4. Step 4: Simplify right side
    7,189.47x = 78,018,115.39
  5. Step 5: Solve for x
    x = 78,018,115.39/7,189.47
  6. Step 6: Final answer
    x = 10,851.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.