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Finding the Fourth Proportional to 10,692.65, 16,030.31 and 4,457.33

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Solution

The fourth proportional to 10,692.65, 16,030.31 and 4,457.33 is: 6,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.65 : 16,030.31 = 4,457.33 : x
  2. Step 2: Convert to fraction form
    10,692.65/16,030.31 = 4,457.33/x
  3. Step 3: Cross multiply
    10,692.65x = 16,030.31 × 4,457.33
  4. Step 4: Simplify right side
    10,692.65x = 71,452,429.52
  5. Step 5: Solve for x
    x = 71,452,429.52/10,692.65
  6. Step 6: Final answer
    x = 6,682.39

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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.