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Finding the Fourth Proportional to 7,409.64, 10,226.34 and 4,265.76

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Solution

The fourth proportional to 7,409.64, 10,226.34 and 4,265.76 is: 5,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.64 : 10,226.34 = 4,265.76 : x
  2. Step 2: Convert to fraction form
    7,409.64/10,226.34 = 4,265.76/x
  3. Step 3: Cross multiply
    7,409.64x = 10,226.34 × 4,265.76
  4. Step 4: Simplify right side
    7,409.64x = 43,623,112.12
  5. Step 5: Solve for x
    x = 43,623,112.12/7,409.64
  6. Step 6: Final answer
    x = 5,887.35

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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.