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Finding the Fourth Proportional to 10,492.20, 15,728.99 and 4,256.82

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Solution

The fourth proportional to 10,492.20, 15,728.99 and 4,256.82 is: 6,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.20 : 15,728.99 = 4,256.82 : x
  2. Step 2: Convert to fraction form
    10,492.20/15,728.99 = 4,256.82/x
  3. Step 3: Cross multiply
    10,492.20x = 15,728.99 × 4,256.82
  4. Step 4: Simplify right side
    10,492.20x = 66,955,457.93
  5. Step 5: Solve for x
    x = 66,955,457.93/10,492.20
  6. Step 6: Final answer
    x = 6,381.45

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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.