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Finding the Fourth Proportional to 10,492.63, 15,734.08 and 3,914.08

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Solution

The fourth proportional to 10,492.63, 15,734.08 and 3,914.08 is: 5,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.63 : 15,734.08 = 3,914.08 : x
  2. Step 2: Convert to fraction form
    10,492.63/15,734.08 = 3,914.08/x
  3. Step 3: Cross multiply
    10,492.63x = 15,734.08 × 3,914.08
  4. Step 4: Simplify right side
    10,492.63x = 61,584,447.85
  5. Step 5: Solve for x
    x = 61,584,447.85/10,492.63
  6. Step 6: Final answer
    x = 5,869.31

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