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Finding the Fourth Proportional to 7,386.38, 10,193.40 and 4,029.25

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Solution

The fourth proportional to 7,386.38, 10,193.40 and 4,029.25 is: 5,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.38 : 10,193.40 = 4,029.25 : x
  2. Step 2: Convert to fraction form
    7,386.38/10,193.40 = 4,029.25/x
  3. Step 3: Cross multiply
    7,386.38x = 10,193.40 × 4,029.25
  4. Step 4: Simplify right side
    7,386.38x = 41,071,741.84
  5. Step 5: Solve for x
    x = 41,071,741.84/7,386.38
  6. Step 6: Final answer
    x = 5,560.47

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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.