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Finding the Fourth Proportional to 7,737.04, 11,606.38 and 2,470.81

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Solution

The fourth proportional to 7,737.04, 11,606.38 and 2,470.81 is: 3,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.04 : 11,606.38 = 2,470.81 : x
  2. Step 2: Convert to fraction form
    7,737.04/11,606.38 = 2,470.81/x
  3. Step 3: Cross multiply
    7,737.04x = 11,606.38 × 2,470.81
  4. Step 4: Simplify right side
    7,737.04x = 28,677,167.43
  5. Step 5: Solve for x
    x = 28,677,167.43/7,737.04
  6. Step 6: Final answer
    x = 3,706.48

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