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Finding the Fourth Proportional to 11,904.47, 17,832.46 and 7,731.82

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Solution

The fourth proportional to 11,904.47, 17,832.46 and 7,731.82 is: 11,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.47 : 17,832.46 = 7,731.82 : x
  2. Step 2: Convert to fraction form
    11,904.47/17,832.46 = 7,731.82/x
  3. Step 3: Cross multiply
    11,904.47x = 17,832.46 × 7,731.82
  4. Step 4: Simplify right side
    11,904.47x = 137,877,281.71
  5. Step 5: Solve for x
    x = 137,877,281.71/11,904.47
  6. Step 6: Final answer
    x = 11,581.98

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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.