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Finding the Fourth Proportional to 7,365.65, 10,164.33 and 4,008.39

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Solution

The fourth proportional to 7,365.65, 10,164.33 and 4,008.39 is: 5,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.65 : 10,164.33 = 4,008.39 : x
  2. Step 2: Convert to fraction form
    7,365.65/10,164.33 = 4,008.39/x
  3. Step 3: Cross multiply
    7,365.65x = 10,164.33 × 4,008.39
  4. Step 4: Simplify right side
    7,365.65x = 40,742,621.38
  5. Step 5: Solve for x
    x = 40,742,621.38/7,365.65
  6. Step 6: Final answer
    x = 5,531.43

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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.