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Finding the Fourth Proportional to 10,604.66, 14,636.58 and 6,128.60

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Solution

The fourth proportional to 10,604.66, 14,636.58 and 6,128.60 is: 8,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.66 : 14,636.58 = 6,128.60 : x
  2. Step 2: Convert to fraction form
    10,604.66/14,636.58 = 6,128.60/x
  3. Step 3: Cross multiply
    10,604.66x = 14,636.58 × 6,128.60
  4. Step 4: Simplify right side
    10,604.66x = 89,701,744.19
  5. Step 5: Solve for x
    x = 89,701,744.19/10,604.66
  6. Step 6: Final answer
    x = 8,458.71

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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.