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Finding the Fourth Proportional to 10,492.82, 15,742.53 and 4,945.94

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Solution

The fourth proportional to 10,492.82, 15,742.53 and 4,945.94 is: 7,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.82 : 15,742.53 = 4,945.94 : x
  2. Step 2: Convert to fraction form
    10,492.82/15,742.53 = 4,945.94/x
  3. Step 3: Cross multiply
    10,492.82x = 15,742.53 × 4,945.94
  4. Step 4: Simplify right side
    10,492.82x = 77,861,530.12
  5. Step 5: Solve for x
    x = 77,861,530.12/10,492.82
  6. Step 6: Final answer
    x = 7,420.46

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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.