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Finding the Fourth Proportional to 10,258.81, 15,382.05 and 4,011.37

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Solution

The fourth proportional to 10,258.81, 15,382.05 and 4,011.37 is: 6,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.81 : 15,382.05 = 4,011.37 : x
  2. Step 2: Convert to fraction form
    10,258.81/15,382.05 = 4,011.37/x
  3. Step 3: Cross multiply
    10,258.81x = 15,382.05 × 4,011.37
  4. Step 4: Simplify right side
    10,258.81x = 61,703,093.91
  5. Step 5: Solve for x
    x = 61,703,093.91/10,258.81
  6. Step 6: Final answer
    x = 6,014.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.