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Finding the Fourth Proportional to 11,492.84, 15,839.70 and 9,895.37

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Solution

The fourth proportional to 11,492.84, 15,839.70 and 9,895.37 is: 13,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.84 : 15,839.70 = 9,895.37 : x
  2. Step 2: Convert to fraction form
    11,492.84/15,839.70 = 9,895.37/x
  3. Step 3: Cross multiply
    11,492.84x = 15,839.70 × 9,895.37
  4. Step 4: Simplify right side
    11,492.84x = 156,739,692.19
  5. Step 5: Solve for x
    x = 156,739,692.19/11,492.84
  6. Step 6: Final answer
    x = 13,638.03

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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.