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Finding the Fourth Proportional to 10,420.84, 14,381.12 and 5,705.15

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Solution

The fourth proportional to 10,420.84, 14,381.12 and 5,705.15 is: 7,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.84 : 14,381.12 = 5,705.15 : x
  2. Step 2: Convert to fraction form
    10,420.84/14,381.12 = 5,705.15/x
  3. Step 3: Cross multiply
    10,420.84x = 14,381.12 × 5,705.15
  4. Step 4: Simplify right side
    10,420.84x = 82,046,418.24
  5. Step 5: Solve for x
    x = 82,046,418.24/10,420.84
  6. Step 6: Final answer
    x = 7,873.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.