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Finding the Fourth Proportional to 7,737.47, 10,677.65 and 4,200.61

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Solution

The fourth proportional to 7,737.47, 10,677.65 and 4,200.61 is: 5,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.47 : 10,677.65 = 4,200.61 : x
  2. Step 2: Convert to fraction form
    7,737.47/10,677.65 = 4,200.61/x
  3. Step 3: Cross multiply
    7,737.47x = 10,677.65 × 4,200.61
  4. Step 4: Simplify right side
    7,737.47x = 44,852,643.37
  5. Step 5: Solve for x
    x = 44,852,643.37/7,737.47
  6. Step 6: Final answer
    x = 5,796.81

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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.