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Finding the Fourth Proportional to 10,678.84, 14,735.80 and 6,202.50

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Solution

The fourth proportional to 10,678.84, 14,735.80 and 6,202.50 is: 8,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.84 : 14,735.80 = 6,202.50 : x
  2. Step 2: Convert to fraction form
    10,678.84/14,735.80 = 6,202.50/x
  3. Step 3: Cross multiply
    10,678.84x = 14,735.80 × 6,202.50
  4. Step 4: Simplify right side
    10,678.84x = 91,398,799.50
  5. Step 5: Solve for x
    x = 91,398,799.50/10,678.84
  6. Step 6: Final answer
    x = 8,558.87

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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.