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Finding the Fourth Proportional to 7,386.58, 10,193.54 and 4,029.42

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Solution

The fourth proportional to 7,386.58, 10,193.54 and 4,029.42 is: 5,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.58 : 10,193.54 = 4,029.42 : x
  2. Step 2: Convert to fraction form
    7,386.58/10,193.54 = 4,029.42/x
  3. Step 3: Cross multiply
    7,386.58x = 10,193.54 × 4,029.42
  4. Step 4: Simplify right side
    7,386.58x = 41,074,053.95
  5. Step 5: Solve for x
    x = 41,074,053.95/7,386.58
  6. Step 6: Final answer
    x = 5,560.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.