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Finding the Fourth Proportional to 7,460.01, 10,296.38 and 4,732.78

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Solution

The fourth proportional to 7,460.01, 10,296.38 and 4,732.78 is: 6,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.01 : 10,296.38 = 4,732.78 : x
  2. Step 2: Convert to fraction form
    7,460.01/10,296.38 = 4,732.78/x
  3. Step 3: Cross multiply
    7,460.01x = 10,296.38 × 4,732.78
  4. Step 4: Simplify right side
    7,460.01x = 48,730,501.34
  5. Step 5: Solve for x
    x = 48,730,501.34/7,460.01
  6. Step 6: Final answer
    x = 6,532.23

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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.