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Finding the Fourth Proportional to 10,409.13, 14,343.35 and 7,418.61

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Solution

The fourth proportional to 10,409.13, 14,343.35 and 7,418.61 is: 10,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.13 : 14,343.35 = 7,418.61 : x
  2. Step 2: Convert to fraction form
    10,409.13/14,343.35 = 7,418.61/x
  3. Step 3: Cross multiply
    10,409.13x = 14,343.35 × 7,418.61
  4. Step 4: Simplify right side
    10,409.13x = 106,407,682.65
  5. Step 5: Solve for x
    x = 106,407,682.65/10,409.13
  6. Step 6: Final answer
    x = 10,222.53

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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.