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Finding the Fourth Proportional to 10,709.66, 16,064.43 and 2,918.45

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Solution

The fourth proportional to 10,709.66, 16,064.43 and 2,918.45 is: 4,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.66 : 16,064.43 = 2,918.45 : x
  2. Step 2: Convert to fraction form
    10,709.66/16,064.43 = 2,918.45/x
  3. Step 3: Cross multiply
    10,709.66x = 16,064.43 × 2,918.45
  4. Step 4: Simplify right side
    10,709.66x = 46,883,235.73
  5. Step 5: Solve for x
    x = 46,883,235.73/10,709.66
  6. Step 6: Final answer
    x = 4,377.66

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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.