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Finding the Fourth Proportional to 10,341.92, 14,271.76 and 5,626.20

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Solution

The fourth proportional to 10,341.92, 14,271.76 and 5,626.20 is: 7,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.92 : 14,271.76 = 5,626.20 : x
  2. Step 2: Convert to fraction form
    10,341.92/14,271.76 = 5,626.20/x
  3. Step 3: Cross multiply
    10,341.92x = 14,271.76 × 5,626.20
  4. Step 4: Simplify right side
    10,341.92x = 80,295,776.11
  5. Step 5: Solve for x
    x = 80,295,776.11/10,341.92
  6. Step 6: Final answer
    x = 7,764.11

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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.