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Finding the Fourth Proportional to 11,840.40, 16,339.68 and 7,123.68

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Solution

The fourth proportional to 11,840.40, 16,339.68 and 7,123.68 is: 9,830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.40 : 16,339.68 = 7,123.68 : x
  2. Step 2: Convert to fraction form
    11,840.40/16,339.68 = 7,123.68/x
  3. Step 3: Cross multiply
    11,840.40x = 16,339.68 × 7,123.68
  4. Step 4: Simplify right side
    11,840.40x = 116,398,651.62
  5. Step 5: Solve for x
    x = 116,398,651.62/11,840.40
  6. Step 6: Final answer
    x = 9,830.64

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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.