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Finding the Fourth Proportional to 11,482.50, 15,846.77 and 6,447.05

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Solution

The fourth proportional to 11,482.50, 15,846.77 and 6,447.05 is: 8,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.50 : 15,846.77 = 6,447.05 : x
  2. Step 2: Convert to fraction form
    11,482.50/15,846.77 = 6,447.05/x
  3. Step 3: Cross multiply
    11,482.50x = 15,846.77 × 6,447.05
  4. Step 4: Simplify right side
    11,482.50x = 102,164,918.53
  5. Step 5: Solve for x
    x = 102,164,918.53/11,482.50
  6. Step 6: Final answer
    x = 8,897.45

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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.