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Finding the Fourth Proportional to 8,547.81, 12,806.31 and 8,033.16

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Solution

The fourth proportional to 8,547.81, 12,806.31 and 8,033.16 is: 12,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.81 : 12,806.31 = 8,033.16 : x
  2. Step 2: Convert to fraction form
    8,547.81/12,806.31 = 8,033.16/x
  3. Step 3: Cross multiply
    8,547.81x = 12,806.31 × 8,033.16
  4. Step 4: Simplify right side
    8,547.81x = 102,875,137.24
  5. Step 5: Solve for x
    x = 102,875,137.24/8,547.81
  6. Step 6: Final answer
    x = 12,035.26

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Why These Related Problems?

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