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Finding the Fourth Proportional to 11,537.12, 17,303.84 and 3,744.16

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Solution

The fourth proportional to 11,537.12, 17,303.84 and 3,744.16 is: 5,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.12 : 17,303.84 = 3,744.16 : x
  2. Step 2: Convert to fraction form
    11,537.12/17,303.84 = 3,744.16/x
  3. Step 3: Cross multiply
    11,537.12x = 17,303.84 × 3,744.16
  4. Step 4: Simplify right side
    11,537.12x = 64,788,345.57
  5. Step 5: Solve for x
    x = 64,788,345.57/11,537.12
  6. Step 6: Final answer
    x = 5,615.64

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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.