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Finding the Fourth Proportional to 7,409.82, 10,220.70 and 4,423.32

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Solution

The fourth proportional to 7,409.82, 10,220.70 and 4,423.32 is: 6,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.82 : 10,220.70 = 4,423.32 : x
  2. Step 2: Convert to fraction form
    7,409.82/10,220.70 = 4,423.32/x
  3. Step 3: Cross multiply
    7,409.82x = 10,220.70 × 4,423.32
  4. Step 4: Simplify right side
    7,409.82x = 45,209,426.72
  5. Step 5: Solve for x
    x = 45,209,426.72/7,409.82
  6. Step 6: Final answer
    x = 6,101.29

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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.