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Finding the Fourth Proportional to 10,409.13, 14,364.54 and 5,933.07

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Solution

The fourth proportional to 10,409.13, 14,364.54 and 5,933.07 is: 8,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.13 : 14,364.54 = 5,933.07 : x
  2. Step 2: Convert to fraction form
    10,409.13/14,364.54 = 5,933.07/x
  3. Step 3: Cross multiply
    10,409.13x = 14,364.54 × 5,933.07
  4. Step 4: Simplify right side
    10,409.13x = 85,225,821.34
  5. Step 5: Solve for x
    x = 85,225,821.34/10,409.13
  6. Step 6: Final answer
    x = 8,187.60

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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.