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Finding the Fourth Proportional to 7,386.46, 10,192.93 and 4,029.24

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Solution

The fourth proportional to 7,386.46, 10,192.93 and 4,029.24 is: 5,560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.46 : 10,192.93 = 4,029.24 : x
  2. Step 2: Convert to fraction form
    7,386.46/10,192.93 = 4,029.24/x
  3. Step 3: Cross multiply
    7,386.46x = 10,192.93 × 4,029.24
  4. Step 4: Simplify right side
    7,386.46x = 41,069,761.27
  5. Step 5: Solve for x
    x = 41,069,761.27/7,386.46
  6. Step 6: Final answer
    x = 5,560.14

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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.