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Finding the Fourth Proportional to 10,646.01, 14,692.50 and 5,930.28

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Solution

The fourth proportional to 10,646.01, 14,692.50 and 5,930.28 is: 8,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.01 : 14,692.50 = 5,930.28 : x
  2. Step 2: Convert to fraction form
    10,646.01/14,692.50 = 5,930.28/x
  3. Step 3: Cross multiply
    10,646.01x = 14,692.50 × 5,930.28
  4. Step 4: Simplify right side
    10,646.01x = 87,130,638.90
  5. Step 5: Solve for x
    x = 87,130,638.90/10,646.01
  6. Step 6: Final answer
    x = 8,184.35

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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.