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Finding the Fourth Proportional to 10,492.18, 15,738.31 and 3,918.30

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Solution

The fourth proportional to 10,492.18, 15,738.31 and 3,918.30 is: 5,877.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.18 : 15,738.31 = 3,918.30 : x
  2. Step 2: Convert to fraction form
    10,492.18/15,738.31 = 3,918.30/x
  3. Step 3: Cross multiply
    10,492.18x = 15,738.31 × 3,918.30
  4. Step 4: Simplify right side
    10,492.18x = 61,667,341.38
  5. Step 5: Solve for x
    x = 61,667,341.38/10,492.18
  6. Step 6: Final answer
    x = 5,877.46

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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.