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Finding the Fourth Proportional to 7,827.40, 10,737.49 and 7,403.68

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Solution

The fourth proportional to 7,827.40, 10,737.49 and 7,403.68 is: 10,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.40 : 10,737.49 = 7,403.68 : x
  2. Step 2: Convert to fraction form
    7,827.40/10,737.49 = 7,403.68/x
  3. Step 3: Cross multiply
    7,827.40x = 10,737.49 × 7,403.68
  4. Step 4: Simplify right side
    7,827.40x = 79,496,902.94
  5. Step 5: Solve for x
    x = 79,496,902.94/7,827.40
  6. Step 6: Final answer
    x = 10,156.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.