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Finding the Fourth Proportional to 7,341.69, 10,129.78 and 4,470.38

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Solution

The fourth proportional to 7,341.69, 10,129.78 and 4,470.38 is: 6,168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341.69 : 10,129.78 = 4,470.38 : x
  2. Step 2: Convert to fraction form
    7,341.69/10,129.78 = 4,470.38/x
  3. Step 3: Cross multiply
    7,341.69x = 10,129.78 × 4,470.38
  4. Step 4: Simplify right side
    7,341.69x = 45,283,992.98
  5. Step 5: Solve for x
    x = 45,283,992.98/7,341.69
  6. Step 6: Final answer
    x = 6,168.06

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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.