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Finding the Fourth Proportional to 10,256.58, 14,154.09 and 6,006.87

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Solution

The fourth proportional to 10,256.58, 14,154.09 and 6,006.87 is: 8,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.58 : 14,154.09 = 6,006.87 : x
  2. Step 2: Convert to fraction form
    10,256.58/14,154.09 = 6,006.87/x
  3. Step 3: Cross multiply
    10,256.58x = 14,154.09 × 6,006.87
  4. Step 4: Simplify right side
    10,256.58x = 85,021,778.60
  5. Step 5: Solve for x
    x = 85,021,778.60/10,256.58
  6. Step 6: Final answer
    x = 8,289.49

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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.