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Finding the Fourth Proportional to 10,169, 14,032.22 and 5,692.52

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Solution

The fourth proportional to 10,169, 14,032.22 and 5,692.52 is: 7,855.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169 : 14,032.22 = 5,692.52 : x
  2. Step 2: Convert to fraction form
    10,169/14,032.22 = 5,692.52/x
  3. Step 3: Cross multiply
    10,169x = 14,032.22 × 5,692.52
  4. Step 4: Simplify right side
    10,169x = 79,878,692.99
  5. Step 5: Solve for x
    x = 79,878,692.99/10,169
  6. Step 6: Final answer
    x = 7,855.12

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Why These Related Problems?

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