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Finding the Fourth Proportional to 7,002.69, 10,503.90 and 1,737.71

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Solution

The fourth proportional to 7,002.69, 10,503.90 and 1,737.71 is: 2,606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.69 : 10,503.90 = 1,737.71 : x
  2. Step 2: Convert to fraction form
    7,002.69/10,503.90 = 1,737.71/x
  3. Step 3: Cross multiply
    7,002.69x = 10,503.90 × 1,737.71
  4. Step 4: Simplify right side
    7,002.69x = 18,252,718.94
  5. Step 5: Solve for x
    x = 18,252,718.94/7,002.69
  6. Step 6: Final answer
    x = 2,606.53

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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.