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Finding the Fourth Proportional to 10,465.38, 15,692.85 and 3,801.60

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Solution

The fourth proportional to 10,465.38, 15,692.85 and 3,801.60 is: 5,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.38 : 15,692.85 = 3,801.60 : x
  2. Step 2: Convert to fraction form
    10,465.38/15,692.85 = 3,801.60/x
  3. Step 3: Cross multiply
    10,465.38x = 15,692.85 × 3,801.60
  4. Step 4: Simplify right side
    10,465.38x = 59,657,938.56
  5. Step 5: Solve for x
    x = 59,657,938.56/10,465.38
  6. Step 6: Final answer
    x = 5,700.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.