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Finding the Fourth Proportional to 7,737.66, 10,677.96 and 4,200.93

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Solution

The fourth proportional to 7,737.66, 10,677.96 and 4,200.93 is: 5,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.66 : 10,677.96 = 4,200.93 : x
  2. Step 2: Convert to fraction form
    7,737.66/10,677.96 = 4,200.93/x
  3. Step 3: Cross multiply
    7,737.66x = 10,677.96 × 4,200.93
  4. Step 4: Simplify right side
    7,737.66x = 44,857,362.50
  5. Step 5: Solve for x
    x = 44,857,362.50/7,737.66
  6. Step 6: Final answer
    x = 5,797.28

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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.