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Finding the Fourth Proportional to 10,243.52, 15,353.76 and 4,760

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Solution

The fourth proportional to 10,243.52, 15,353.76 and 4,760 is: 7,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.52 : 15,353.76 = 4,760 : x
  2. Step 2: Convert to fraction form
    10,243.52/15,353.76 = 4,760/x
  3. Step 3: Cross multiply
    10,243.52x = 15,353.76 × 4,760
  4. Step 4: Simplify right side
    10,243.52x = 73,083,897.60
  5. Step 5: Solve for x
    x = 73,083,897.60/10,243.52
  6. Step 6: Final answer
    x = 7,134.65

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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.