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Finding the Fourth Proportional to 7,117.25, 10,676.28 and 2,957.63

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Solution

The fourth proportional to 7,117.25, 10,676.28 and 2,957.63 is: 4,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.25 : 10,676.28 = 2,957.63 : x
  2. Step 2: Convert to fraction form
    7,117.25/10,676.28 = 2,957.63/x
  3. Step 3: Cross multiply
    7,117.25x = 10,676.28 × 2,957.63
  4. Step 4: Simplify right side
    7,117.25x = 31,576,486.02
  5. Step 5: Solve for x
    x = 31,576,486.02/7,117.25
  6. Step 6: Final answer
    x = 4,436.61

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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.