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Finding the Fourth Proportional to 7,002.32, 10,503.34 and 1,737.34

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Solution

The fourth proportional to 7,002.32, 10,503.34 and 1,737.34 is: 2,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.32 : 10,503.34 = 1,737.34 : x
  2. Step 2: Convert to fraction form
    7,002.32/10,503.34 = 1,737.34/x
  3. Step 3: Cross multiply
    7,002.32x = 10,503.34 × 1,737.34
  4. Step 4: Simplify right side
    7,002.32x = 18,247,842.11
  5. Step 5: Solve for x
    x = 18,247,842.11/7,002.32
  6. Step 6: Final answer
    x = 2,605.97

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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.