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Finding the Fourth Proportional to 11,688.96, 17,533.44 and 4,762.24

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Solution

The fourth proportional to 11,688.96, 17,533.44 and 4,762.24 is: 7,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.96 : 17,533.44 = 4,762.24 : x
  2. Step 2: Convert to fraction form
    11,688.96/17,533.44 = 4,762.24/x
  3. Step 3: Cross multiply
    11,688.96x = 17,533.44 × 4,762.24
  4. Step 4: Simplify right side
    11,688.96x = 83,498,449.31
  5. Step 5: Solve for x
    x = 83,498,449.31/11,688.96
  6. Step 6: Final answer
    x = 7,143.36

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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.