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Finding the Fourth Proportional to 7,386.30, 10,193.35 and 4,029.30

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Solution

The fourth proportional to 7,386.30, 10,193.35 and 4,029.30 is: 5,560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.30 : 10,193.35 = 4,029.30 : x
  2. Step 2: Convert to fraction form
    7,386.30/10,193.35 = 4,029.30/x
  3. Step 3: Cross multiply
    7,386.30x = 10,193.35 × 4,029.30
  4. Step 4: Simplify right side
    7,386.30x = 41,072,065.16
  5. Step 5: Solve for x
    x = 41,072,065.16/7,386.30
  6. Step 6: Final answer
    x = 5,560.57

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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.