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Finding the Fourth Proportional to 10,993.65, 15,171.29 and 6,148.36

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Solution

The fourth proportional to 10,993.65, 15,171.29 and 6,148.36 is: 8,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.65 : 15,171.29 = 6,148.36 : x
  2. Step 2: Convert to fraction form
    10,993.65/15,171.29 = 6,148.36/x
  3. Step 3: Cross multiply
    10,993.65x = 15,171.29 × 6,148.36
  4. Step 4: Simplify right side
    10,993.65x = 93,278,552.58
  5. Step 5: Solve for x
    x = 93,278,552.58/10,993.65
  6. Step 6: Final answer
    x = 8,484.77

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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.