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Finding the Fourth Proportional to 11,482.51, 15,846.03 and 6,447.82

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Solution

The fourth proportional to 11,482.51, 15,846.03 and 6,447.82 is: 8,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.51 : 15,846.03 = 6,447.82 : x
  2. Step 2: Convert to fraction form
    11,482.51/15,846.03 = 6,447.82/x
  3. Step 3: Cross multiply
    11,482.51x = 15,846.03 × 6,447.82
  4. Step 4: Simplify right side
    11,482.51x = 102,172,349.15
  5. Step 5: Solve for x
    x = 102,172,349.15/11,482.51
  6. Step 6: Final answer
    x = 8,898.08

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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.