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Finding the Fourth Proportional to 7,411.94, 10,222.50 and 5,737.87

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Solution

The fourth proportional to 7,411.94, 10,222.50 and 5,737.87 is: 7,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.94 : 10,222.50 = 5,737.87 : x
  2. Step 2: Convert to fraction form
    7,411.94/10,222.50 = 5,737.87/x
  3. Step 3: Cross multiply
    7,411.94x = 10,222.50 × 5,737.87
  4. Step 4: Simplify right side
    7,411.94x = 58,655,410.37
  5. Step 5: Solve for x
    x = 58,655,410.37/7,411.94
  6. Step 6: Final answer
    x = 7,913.64

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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.