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Finding the Fourth Proportional to 7,273.28, 10,031.76 and 4,618.40

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Solution

The fourth proportional to 7,273.28, 10,031.76 and 4,618.40 is: 6,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273.28 : 10,031.76 = 4,618.40 : x
  2. Step 2: Convert to fraction form
    7,273.28/10,031.76 = 4,618.40/x
  3. Step 3: Cross multiply
    7,273.28x = 10,031.76 × 4,618.40
  4. Step 4: Simplify right side
    7,273.28x = 46,330,680.38
  5. Step 5: Solve for x
    x = 46,330,680.38/7,273.28
  6. Step 6: Final answer
    x = 6,369.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.