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Finding the Fourth Proportional to 10,180.64, 14,051.34 and 6,959.07

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Solution

The fourth proportional to 10,180.64, 14,051.34 and 6,959.07 is: 9,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.64 : 14,051.34 = 6,959.07 : x
  2. Step 2: Convert to fraction form
    10,180.64/14,051.34 = 6,959.07/x
  3. Step 3: Cross multiply
    10,180.64x = 14,051.34 × 6,959.07
  4. Step 4: Simplify right side
    10,180.64x = 97,784,258.65
  5. Step 5: Solve for x
    x = 97,784,258.65/10,180.64
  6. Step 6: Final answer
    x = 9,604.92

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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.