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Finding the Fourth Proportional to 10,017.82, 13,812.03 and 6,426.45

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Solution

The fourth proportional to 10,017.82, 13,812.03 and 6,426.45 is: 8,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.82 : 13,812.03 = 6,426.45 : x
  2. Step 2: Convert to fraction form
    10,017.82/13,812.03 = 6,426.45/x
  3. Step 3: Cross multiply
    10,017.82x = 13,812.03 × 6,426.45
  4. Step 4: Simplify right side
    10,017.82x = 88,762,320.19
  5. Step 5: Solve for x
    x = 88,762,320.19/10,017.82
  6. Step 6: Final answer
    x = 8,860.44

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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.