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Finding the Fourth Proportional to 11,530.96, 17,283.00 and 5,291.63

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Solution

The fourth proportional to 11,530.96, 17,283.00 and 5,291.63 is: 7,931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.96 : 17,283.00 = 5,291.63 : x
  2. Step 2: Convert to fraction form
    11,530.96/17,283.00 = 5,291.63/x
  3. Step 3: Cross multiply
    11,530.96x = 17,283.00 × 5,291.63
  4. Step 4: Simplify right side
    11,530.96x = 91,455,194.88
  5. Step 5: Solve for x
    x = 91,455,194.88/11,530.96
  6. Step 6: Final answer
    x = 7,931.27

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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.