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Finding the Fourth Proportional to 10,669.71, 16,004.86 and 2,878.50

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Solution

The fourth proportional to 10,669.71, 16,004.86 and 2,878.50 is: 4,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.71 : 16,004.86 = 2,878.50 : x
  2. Step 2: Convert to fraction form
    10,669.71/16,004.86 = 2,878.50/x
  3. Step 3: Cross multiply
    10,669.71x = 16,004.86 × 2,878.50
  4. Step 4: Simplify right side
    10,669.71x = 46,069,982.31
  5. Step 5: Solve for x
    x = 46,069,982.31/10,669.71
  6. Step 6: Final answer
    x = 4,317.83

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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.