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Finding the Fourth Proportional to 11,138.60, 16,710.26 and 4,564.77

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Solution

The fourth proportional to 11,138.60, 16,710.26 and 4,564.77 is: 6,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.60 : 16,710.26 = 4,564.77 : x
  2. Step 2: Convert to fraction form
    11,138.60/16,710.26 = 4,564.77/x
  3. Step 3: Cross multiply
    11,138.60x = 16,710.26 × 4,564.77
  4. Step 4: Simplify right side
    11,138.60x = 76,278,470.72
  5. Step 5: Solve for x
    x = 76,278,470.72/11,138.60
  6. Step 6: Final answer
    x = 6,848.12

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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.