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Finding the Fourth Proportional to 7,794.01, 10,752.31 and 4,648.38

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Solution

The fourth proportional to 7,794.01, 10,752.31 and 4,648.38 is: 6,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.01 : 10,752.31 = 4,648.38 : x
  2. Step 2: Convert to fraction form
    7,794.01/10,752.31 = 4,648.38/x
  3. Step 3: Cross multiply
    7,794.01x = 10,752.31 × 4,648.38
  4. Step 4: Simplify right side
    7,794.01x = 49,980,822.76
  5. Step 5: Solve for x
    x = 49,980,822.76/7,794.01
  6. Step 6: Final answer
    x = 6,412.72

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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.