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Finding the Fourth Proportional to 7,903.67, 11,846.38 and 2,970.16

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Solution

The fourth proportional to 7,903.67, 11,846.38 and 2,970.16 is: 4,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.67 : 11,846.38 = 2,970.16 : x
  2. Step 2: Convert to fraction form
    7,903.67/11,846.38 = 2,970.16/x
  3. Step 3: Cross multiply
    7,903.67x = 11,846.38 × 2,970.16
  4. Step 4: Simplify right side
    7,903.67x = 35,185,644.02
  5. Step 5: Solve for x
    x = 35,185,644.02/7,903.67
  6. Step 6: Final answer
    x = 4,451.81

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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.