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Finding the Fourth Proportional to 8,300.71, 12,438.08 and 5,216.23

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Solution

The fourth proportional to 8,300.71, 12,438.08 and 5,216.23 is: 7,816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.71 : 12,438.08 = 5,216.23 : x
  2. Step 2: Convert to fraction form
    8,300.71/12,438.08 = 5,216.23/x
  3. Step 3: Cross multiply
    8,300.71x = 12,438.08 × 5,216.23
  4. Step 4: Simplify right side
    8,300.71x = 64,879,886.04
  5. Step 5: Solve for x
    x = 64,879,886.04/8,300.71
  6. Step 6: Final answer
    x = 7,816.19

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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.