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Finding the Fourth Proportional to 8,535.99, 12,802.55 and 2,691.75

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Solution

The fourth proportional to 8,535.99, 12,802.55 and 2,691.75 is: 4,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.99 : 12,802.55 = 2,691.75 : x
  2. Step 2: Convert to fraction form
    8,535.99/12,802.55 = 2,691.75/x
  3. Step 3: Cross multiply
    8,535.99x = 12,802.55 × 2,691.75
  4. Step 4: Simplify right side
    8,535.99x = 34,461,250.50
  5. Step 5: Solve for x
    x = 34,461,250.50/8,535.99
  6. Step 6: Final answer
    x = 4,037.17

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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.