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Finding the Fourth Proportional to 11,510.91, 15,883.56 and 6,474.51

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Solution

The fourth proportional to 11,510.91, 15,883.56 and 6,474.51 is: 8,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.91 : 15,883.56 = 6,474.51 : x
  2. Step 2: Convert to fraction form
    11,510.91/15,883.56 = 6,474.51/x
  3. Step 3: Cross multiply
    11,510.91x = 15,883.56 × 6,474.51
  4. Step 4: Simplify right side
    11,510.91x = 102,838,268.06
  5. Step 5: Solve for x
    x = 102,838,268.06/11,510.91
  6. Step 6: Final answer
    x = 8,933.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.