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Finding the Fourth Proportional to 7,737.87, 11,598.86 and 3,055.98

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Solution

The fourth proportional to 7,737.87, 11,598.86 and 3,055.98 is: 4,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.87 : 11,598.86 = 3,055.98 : x
  2. Step 2: Convert to fraction form
    7,737.87/11,598.86 = 3,055.98/x
  3. Step 3: Cross multiply
    7,737.87x = 11,598.86 × 3,055.98
  4. Step 4: Simplify right side
    7,737.87x = 35,445,868.90
  5. Step 5: Solve for x
    x = 35,445,868.90/7,737.87
  6. Step 6: Final answer
    x = 4,580.83

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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.