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Finding the Fourth Proportional to 8,547.52, 12,821.12 and 2,704.48

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Solution

The fourth proportional to 8,547.52, 12,821.12 and 2,704.48 is: 4,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.52 : 12,821.12 = 2,704.48 : x
  2. Step 2: Convert to fraction form
    8,547.52/12,821.12 = 2,704.48/x
  3. Step 3: Cross multiply
    8,547.52x = 12,821.12 × 2,704.48
  4. Step 4: Simplify right side
    8,547.52x = 34,674,462.62
  5. Step 5: Solve for x
    x = 34,674,462.62/8,547.52
  6. Step 6: Final answer
    x = 4,056.67

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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.