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Finding the Fourth Proportional to 11,382.27, 15,708.65 and 6,905.67

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Solution

The fourth proportional to 11,382.27, 15,708.65 and 6,905.67 is: 9,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.27 : 15,708.65 = 6,905.67 : x
  2. Step 2: Convert to fraction form
    11,382.27/15,708.65 = 6,905.67/x
  3. Step 3: Cross multiply
    11,382.27x = 15,708.65 × 6,905.67
  4. Step 4: Simplify right side
    11,382.27x = 108,478,718.52
  5. Step 5: Solve for x
    x = 108,478,718.52/11,382.27
  6. Step 6: Final answer
    x = 9,530.50

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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.