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Finding the Fourth Proportional to 10,420.69, 15,626.30 and 4,494.77

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Solution

The fourth proportional to 10,420.69, 15,626.30 and 4,494.77 is: 6,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.69 : 15,626.30 = 4,494.77 : x
  2. Step 2: Convert to fraction form
    10,420.69/15,626.30 = 4,494.77/x
  3. Step 3: Cross multiply
    10,420.69x = 15,626.30 × 4,494.77
  4. Step 4: Simplify right side
    10,420.69x = 70,236,601.98
  5. Step 5: Solve for x
    x = 70,236,601.98/10,420.69
  6. Step 6: Final answer
    x = 6,740.11

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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.