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Finding the Fourth Proportional to 10,251.40, 14,145.14 and 5,774.80

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Solution

The fourth proportional to 10,251.40, 14,145.14 and 5,774.80 is: 7,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.40 : 14,145.14 = 5,774.80 : x
  2. Step 2: Convert to fraction form
    10,251.40/14,145.14 = 5,774.80/x
  3. Step 3: Cross multiply
    10,251.40x = 14,145.14 × 5,774.80
  4. Step 4: Simplify right side
    10,251.40x = 81,685,354.47
  5. Step 5: Solve for x
    x = 81,685,354.47/10,251.40
  6. Step 6: Final answer
    x = 7,968.21

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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.