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Finding the Fourth Proportional to 11,013.13, 16,527.80 and 7,314.13

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Solution

The fourth proportional to 11,013.13, 16,527.80 and 7,314.13 is: 10,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.13 : 16,527.80 = 7,314.13 : x
  2. Step 2: Convert to fraction form
    11,013.13/16,527.80 = 7,314.13/x
  3. Step 3: Cross multiply
    11,013.13x = 16,527.80 × 7,314.13
  4. Step 4: Simplify right side
    11,013.13x = 120,886,477.81
  5. Step 5: Solve for x
    x = 120,886,477.81/11,013.13
  6. Step 6: Final answer
    x = 10,976.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.