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Finding the Fourth Proportional to 10,066.14, 13,897.44 and 7,408.80

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Solution

The fourth proportional to 10,066.14, 13,897.44 and 7,408.80 is: 10,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.14 : 13,897.44 = 7,408.80 : x
  2. Step 2: Convert to fraction form
    10,066.14/13,897.44 = 7,408.80/x
  3. Step 3: Cross multiply
    10,066.14x = 13,897.44 × 7,408.80
  4. Step 4: Simplify right side
    10,066.14x = 102,963,353.47
  5. Step 5: Solve for x
    x = 102,963,353.47/10,066.14
  6. Step 6: Final answer
    x = 10,228.68

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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.