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Finding the Fourth Proportional to 11,659.70, 17,478.56 and 5,810.78

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Solution

The fourth proportional to 11,659.70, 17,478.56 and 5,810.78 is: 8,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.70 : 17,478.56 = 5,810.78 : x
  2. Step 2: Convert to fraction form
    11,659.70/17,478.56 = 5,810.78/x
  3. Step 3: Cross multiply
    11,659.70x = 17,478.56 × 5,810.78
  4. Step 4: Simplify right side
    11,659.70x = 101,564,066.88
  5. Step 5: Solve for x
    x = 101,564,066.88/11,659.70
  6. Step 6: Final answer
    x = 8,710.69

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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.