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Finding the Fourth Proportional to 7,637.37, 11,433.02 and 6,907.29

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Solution

The fourth proportional to 7,637.37, 11,433.02 and 6,907.29 is: 10,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.37 : 11,433.02 = 6,907.29 : x
  2. Step 2: Convert to fraction form
    7,637.37/11,433.02 = 6,907.29/x
  3. Step 3: Cross multiply
    7,637.37x = 11,433.02 × 6,907.29
  4. Step 4: Simplify right side
    7,637.37x = 78,971,150.18
  5. Step 5: Solve for x
    x = 78,971,150.18/7,637.37
  6. Step 6: Final answer
    x = 10,340.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.