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Finding the Fourth Proportional to 10,716.42, 14,778.78 and 7,353.30

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Solution

The fourth proportional to 10,716.42, 14,778.78 and 7,353.30 is: 10,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.42 : 14,778.78 = 7,353.30 : x
  2. Step 2: Convert to fraction form
    10,716.42/14,778.78 = 7,353.30/x
  3. Step 3: Cross multiply
    10,716.42x = 14,778.78 × 7,353.30
  4. Step 4: Simplify right side
    10,716.42x = 108,672,802.97
  5. Step 5: Solve for x
    x = 108,672,802.97/10,716.42
  6. Step 6: Final answer
    x = 10,140.77

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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.