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Finding the Fourth Proportional to 10,334.77, 14,262.14 and 5,858.42

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Solution

The fourth proportional to 10,334.77, 14,262.14 and 5,858.42 is: 8,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.77 : 14,262.14 = 5,858.42 : x
  2. Step 2: Convert to fraction form
    10,334.77/14,262.14 = 5,858.42/x
  3. Step 3: Cross multiply
    10,334.77x = 14,262.14 × 5,858.42
  4. Step 4: Simplify right side
    10,334.77x = 83,553,549.55
  5. Step 5: Solve for x
    x = 83,553,549.55/10,334.77
  6. Step 6: Final answer
    x = 8,084.71

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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.