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Finding the Fourth Proportional to 7,693.63, 10,612.95 and 5,171.29

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Solution

The fourth proportional to 7,693.63, 10,612.95 and 5,171.29 is: 7,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.63 : 10,612.95 = 5,171.29 : x
  2. Step 2: Convert to fraction form
    7,693.63/10,612.95 = 5,171.29/x
  3. Step 3: Cross multiply
    7,693.63x = 10,612.95 × 5,171.29
  4. Step 4: Simplify right side
    7,693.63x = 54,882,642.21
  5. Step 5: Solve for x
    x = 54,882,642.21/7,693.63
  6. Step 6: Final answer
    x = 7,133.52

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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.