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Finding the Fourth Proportional to 10,320.12, 14,241.93 and 5,604.41

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Solution

The fourth proportional to 10,320.12, 14,241.93 and 5,604.41 is: 7,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.12 : 14,241.93 = 5,604.41 : x
  2. Step 2: Convert to fraction form
    10,320.12/14,241.93 = 5,604.41/x
  3. Step 3: Cross multiply
    10,320.12x = 14,241.93 × 5,604.41
  4. Step 4: Simplify right side
    10,320.12x = 79,817,614.91
  5. Step 5: Solve for x
    x = 79,817,614.91/10,320.12
  6. Step 6: Final answer
    x = 7,734.18

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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.