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Finding the Fourth Proportional to 11,533, 17,300.58 and 3,739.72

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Solution

The fourth proportional to 11,533, 17,300.58 and 3,739.72 is: 5,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533 : 17,300.58 = 3,739.72 : x
  2. Step 2: Convert to fraction form
    11,533/17,300.58 = 3,739.72/x
  3. Step 3: Cross multiply
    11,533x = 17,300.58 × 3,739.72
  4. Step 4: Simplify right side
    11,533x = 64,699,325.04
  5. Step 5: Solve for x
    x = 64,699,325.04/11,533
  6. Step 6: Final answer
    x = 5,609.93

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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.