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Finding the Fourth Proportional to 10,256.70, 14,155.31 and 6,280.45

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Solution

The fourth proportional to 10,256.70, 14,155.31 and 6,280.45 is: 8,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.70 : 14,155.31 = 6,280.45 : x
  2. Step 2: Convert to fraction form
    10,256.70/14,155.31 = 6,280.45/x
  3. Step 3: Cross multiply
    10,256.70x = 14,155.31 × 6,280.45
  4. Step 4: Simplify right side
    10,256.70x = 88,901,716.69
  5. Step 5: Solve for x
    x = 88,901,716.69/10,256.70
  6. Step 6: Final answer
    x = 8,667.67

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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.