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Finding the Fourth Proportional to 11,430.96, 17,134.74 and 7,733.58

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Solution

The fourth proportional to 11,430.96, 17,134.74 and 7,733.58 is: 11,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.96 : 17,134.74 = 7,733.58 : x
  2. Step 2: Convert to fraction form
    11,430.96/17,134.74 = 7,733.58/x
  3. Step 3: Cross multiply
    11,430.96x = 17,134.74 × 7,733.58
  4. Step 4: Simplify right side
    11,430.96x = 132,512,818.31
  5. Step 5: Solve for x
    x = 132,512,818.31/11,430.96
  6. Step 6: Final answer
    x = 11,592.45

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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.