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Finding the Fourth Proportional to 10,695.38, 14,759.62 and 5,980.10

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Solution

The fourth proportional to 10,695.38, 14,759.62 and 5,980.10 is: 8,252.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.38 : 14,759.62 = 5,980.10 : x
  2. Step 2: Convert to fraction form
    10,695.38/14,759.62 = 5,980.10/x
  3. Step 3: Cross multiply
    10,695.38x = 14,759.62 × 5,980.10
  4. Step 4: Simplify right side
    10,695.38x = 88,263,914.81
  5. Step 5: Solve for x
    x = 88,263,914.81/10,695.38
  6. Step 6: Final answer
    x = 8,252.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.