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Finding the Fourth Proportional to 8,511.48, 12,698.88 and 7,575.96

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Solution

The fourth proportional to 8,511.48, 12,698.88 and 7,575.96 is: 11,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.48 : 12,698.88 = 7,575.96 : x
  2. Step 2: Convert to fraction form
    8,511.48/12,698.88 = 7,575.96/x
  3. Step 3: Cross multiply
    8,511.48x = 12,698.88 × 7,575.96
  4. Step 4: Simplify right side
    8,511.48x = 96,206,206.92
  5. Step 5: Solve for x
    x = 96,206,206.92/8,511.48
  6. Step 6: Final answer
    x = 11,303.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.