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Finding the Fourth Proportional to 7,737.24, 10,676.70 and 4,593

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Solution

The fourth proportional to 7,737.24, 10,676.70 and 4,593 is: 6,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.24 : 10,676.70 = 4,593 : x
  2. Step 2: Convert to fraction form
    7,737.24/10,676.70 = 4,593/x
  3. Step 3: Cross multiply
    7,737.24x = 10,676.70 × 4,593
  4. Step 4: Simplify right side
    7,737.24x = 49,038,083.10
  5. Step 5: Solve for x
    x = 49,038,083.10/7,737.24
  6. Step 6: Final answer
    x = 6,337.93

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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.