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Finding the Fourth Proportional to 11,683.76, 16,123.47 and 7,205.72

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Solution

The fourth proportional to 11,683.76, 16,123.47 and 7,205.72 is: 9,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.76 : 16,123.47 = 7,205.72 : x
  2. Step 2: Convert to fraction form
    11,683.76/16,123.47 = 7,205.72/x
  3. Step 3: Cross multiply
    11,683.76x = 16,123.47 × 7,205.72
  4. Step 4: Simplify right side
    11,683.76x = 116,181,210.25
  5. Step 5: Solve for x
    x = 116,181,210.25/11,683.76
  6. Step 6: Final answer
    x = 9,943.82

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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.