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Finding the Fourth Proportional to 10,661.85, 14,698.53 and 6,680.30

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Solution

The fourth proportional to 10,661.85, 14,698.53 and 6,680.30 is: 9,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.85 : 14,698.53 = 6,680.30 : x
  2. Step 2: Convert to fraction form
    10,661.85/14,698.53 = 6,680.30/x
  3. Step 3: Cross multiply
    10,661.85x = 14,698.53 × 6,680.30
  4. Step 4: Simplify right side
    10,661.85x = 98,190,516.47
  5. Step 5: Solve for x
    x = 98,190,516.47/10,661.85
  6. Step 6: Final answer
    x = 9,209.52

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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.