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Finding the Fourth Proportional to 7,123.89, 10,676.52 and 5,156.14

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Solution

The fourth proportional to 7,123.89, 10,676.52 and 5,156.14 is: 7,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.89 : 10,676.52 = 5,156.14 : x
  2. Step 2: Convert to fraction form
    7,123.89/10,676.52 = 5,156.14/x
  3. Step 3: Cross multiply
    7,123.89x = 10,676.52 × 5,156.14
  4. Step 4: Simplify right side
    7,123.89x = 55,049,631.83
  5. Step 5: Solve for x
    x = 55,049,631.83/7,123.89
  6. Step 6: Final answer
    x = 7,727.47

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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.