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Finding the Fourth Proportional to 8,547.12, 12,798.29 and 6,872.34

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Solution

The fourth proportional to 8,547.12, 12,798.29 and 6,872.34 is: 10,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.12 : 12,798.29 = 6,872.34 : x
  2. Step 2: Convert to fraction form
    8,547.12/12,798.29 = 6,872.34/x
  3. Step 3: Cross multiply
    8,547.12x = 12,798.29 × 6,872.34
  4. Step 4: Simplify right side
    8,547.12x = 87,954,165.94
  5. Step 5: Solve for x
    x = 87,954,165.94/8,547.12
  6. Step 6: Final answer
    x = 10,290.50

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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.