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Finding the Fourth Proportional to 10,809, 16,218.50 and 4,570.45

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Solution

The fourth proportional to 10,809, 16,218.50 and 4,570.45 is: 6,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809 : 16,218.50 = 4,570.45 : x
  2. Step 2: Convert to fraction form
    10,809/16,218.50 = 4,570.45/x
  3. Step 3: Cross multiply
    10,809x = 16,218.50 × 4,570.45
  4. Step 4: Simplify right side
    10,809x = 74,125,779.93
  5. Step 5: Solve for x
    x = 74,125,779.93/10,809
  6. Step 6: Final answer
    x = 6,857.78

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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.