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Finding the Fourth Proportional to 10,457.38, 15,692.19 and 3,888.10

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Solution

The fourth proportional to 10,457.38, 15,692.19 and 3,888.10 is: 5,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.38 : 15,692.19 = 3,888.10 : x
  2. Step 2: Convert to fraction form
    10,457.38/15,692.19 = 3,888.10/x
  3. Step 3: Cross multiply
    10,457.38x = 15,692.19 × 3,888.10
  4. Step 4: Simplify right side
    10,457.38x = 61,012,803.94
  5. Step 5: Solve for x
    x = 61,012,803.94/10,457.38
  6. Step 6: Final answer
    x = 5,834.43

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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.