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Finding the Fourth Proportional to 7,802.46, 10,768.34 and 5,155.38

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Solution

The fourth proportional to 7,802.46, 10,768.34 and 5,155.38 is: 7,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.46 : 10,768.34 = 5,155.38 : x
  2. Step 2: Convert to fraction form
    7,802.46/10,768.34 = 5,155.38/x
  3. Step 3: Cross multiply
    7,802.46x = 10,768.34 × 5,155.38
  4. Step 4: Simplify right side
    7,802.46x = 55,514,897.56
  5. Step 5: Solve for x
    x = 55,514,897.56/7,802.46
  6. Step 6: Final answer
    x = 7,115.05

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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.