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Finding the Fourth Proportional to 8,098.56, 12,130.56 and 7,511.04

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Solution

The fourth proportional to 8,098.56, 12,130.56 and 7,511.04 is: 11,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.56 : 12,130.56 = 7,511.04 : x
  2. Step 2: Convert to fraction form
    8,098.56/12,130.56 = 7,511.04/x
  3. Step 3: Cross multiply
    8,098.56x = 12,130.56 × 7,511.04
  4. Step 4: Simplify right side
    8,098.56x = 91,113,121.38
  5. Step 5: Solve for x
    x = 91,113,121.38/8,098.56
  6. Step 6: Final answer
    x = 11,250.53

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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.