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Finding the Fourth Proportional to 11,477.76, 17,200.44 and 4,901.64

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Solution

The fourth proportional to 11,477.76, 17,200.44 and 4,901.64 is: 7,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.76 : 17,200.44 = 4,901.64 : x
  2. Step 2: Convert to fraction form
    11,477.76/17,200.44 = 4,901.64/x
  3. Step 3: Cross multiply
    11,477.76x = 17,200.44 × 4,901.64
  4. Step 4: Simplify right side
    11,477.76x = 84,310,364.72
  5. Step 5: Solve for x
    x = 84,310,364.72/11,477.76
  6. Step 6: Final answer
    x = 7,345.54

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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.