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Finding the Fourth Proportional to 10,168.57, 14,031.01 and 5,692.51

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Solution

The fourth proportional to 10,168.57, 14,031.01 and 5,692.51 is: 7,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.57 : 14,031.01 = 5,692.51 : x
  2. Step 2: Convert to fraction form
    10,168.57/14,031.01 = 5,692.51/x
  3. Step 3: Cross multiply
    10,168.57x = 14,031.01 × 5,692.51
  4. Step 4: Simplify right side
    10,168.57x = 79,871,566.12
  5. Step 5: Solve for x
    x = 79,871,566.12/10,168.57
  6. Step 6: Final answer
    x = 7,854.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.