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Finding the Fourth Proportional to 10,370.70, 14,308.65 and 6,179.76

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Solution

The fourth proportional to 10,370.70, 14,308.65 and 6,179.76 is: 8,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.70 : 14,308.65 = 6,179.76 : x
  2. Step 2: Convert to fraction form
    10,370.70/14,308.65 = 6,179.76/x
  3. Step 3: Cross multiply
    10,370.70x = 14,308.65 × 6,179.76
  4. Step 4: Simplify right side
    10,370.70x = 88,424,022.92
  5. Step 5: Solve for x
    x = 88,424,022.92/10,370.70
  6. Step 6: Final answer
    x = 8,526.33

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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.