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Finding the Fourth Proportional to 7,737.63, 11,606.51 and 2,543.50

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Solution

The fourth proportional to 7,737.63, 11,606.51 and 2,543.50 is: 3,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.63 : 11,606.51 = 2,543.50 : x
  2. Step 2: Convert to fraction form
    7,737.63/11,606.51 = 2,543.50/x
  3. Step 3: Cross multiply
    7,737.63x = 11,606.51 × 2,543.50
  4. Step 4: Simplify right side
    7,737.63x = 29,521,158.19
  5. Step 5: Solve for x
    x = 29,521,158.19/7,737.63
  6. Step 6: Final answer
    x = 3,815.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.