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Finding the Fourth Proportional to 10,441.70, 14,409.48 and 5,726

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Solution

The fourth proportional to 10,441.70, 14,409.48 and 5,726 is: 7,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.70 : 14,409.48 = 5,726 : x
  2. Step 2: Convert to fraction form
    10,441.70/14,409.48 = 5,726/x
  3. Step 3: Cross multiply
    10,441.70x = 14,409.48 × 5,726
  4. Step 4: Simplify right side
    10,441.70x = 82,508,682.48
  5. Step 5: Solve for x
    x = 82,508,682.48/10,441.70
  6. Step 6: Final answer
    x = 7,901.84

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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.