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Finding the Fourth Proportional to 10,329.56, 14,255.04 and 6,137.84

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Solution

The fourth proportional to 10,329.56, 14,255.04 and 6,137.84 is: 8,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.56 : 14,255.04 = 6,137.84 : x
  2. Step 2: Convert to fraction form
    10,329.56/14,255.04 = 6,137.84/x
  3. Step 3: Cross multiply
    10,329.56x = 14,255.04 × 6,137.84
  4. Step 4: Simplify right side
    10,329.56x = 87,495,154.71
  5. Step 5: Solve for x
    x = 87,495,154.71/10,329.56
  6. Step 6: Final answer
    x = 8,470.37

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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.