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Finding the Fourth Proportional to 10,302.78, 14,226.46 and 7,661.96

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Solution

The fourth proportional to 10,302.78, 14,226.46 and 7,661.96 is: 10,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.78 : 14,226.46 = 7,661.96 : x
  2. Step 2: Convert to fraction form
    10,302.78/14,226.46 = 7,661.96/x
  3. Step 3: Cross multiply
    10,302.78x = 14,226.46 × 7,661.96
  4. Step 4: Simplify right side
    10,302.78x = 109,002,567.46
  5. Step 5: Solve for x
    x = 109,002,567.46/10,302.78
  6. Step 6: Final answer
    x = 10,579.92

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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.