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Finding the Fourth Proportional to 10,214.53, 14,097.48 and 5,738.63

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Solution

The fourth proportional to 10,214.53, 14,097.48 and 5,738.63 is: 7,920.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.53 : 14,097.48 = 5,738.63 : x
  2. Step 2: Convert to fraction form
    10,214.53/14,097.48 = 5,738.63/x
  3. Step 3: Cross multiply
    10,214.53x = 14,097.48 × 5,738.63
  4. Step 4: Simplify right side
    10,214.53x = 80,900,122.47
  5. Step 5: Solve for x
    x = 80,900,122.47/10,214.53
  6. Step 6: Final answer
    x = 7,920.10

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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.