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Finding the Fourth Proportional to 10,204.50, 14,078.58 and 6,669.76

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Solution

The fourth proportional to 10,204.50, 14,078.58 and 6,669.76 is: 9,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.50 : 14,078.58 = 6,669.76 : x
  2. Step 2: Convert to fraction form
    10,204.50/14,078.58 = 6,669.76/x
  3. Step 3: Cross multiply
    10,204.50x = 14,078.58 × 6,669.76
  4. Step 4: Simplify right side
    10,204.50x = 93,900,749.74
  5. Step 5: Solve for x
    x = 93,900,749.74/10,204.50
  6. Step 6: Final answer
    x = 9,201.90

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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.