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Finding the Fourth Proportional to 8,045.50, 11,102.82 and 5,251

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Solution

The fourth proportional to 8,045.50, 11,102.82 and 5,251 is: 7,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.50 : 11,102.82 = 5,251 : x
  2. Step 2: Convert to fraction form
    8,045.50/11,102.82 = 5,251/x
  3. Step 3: Cross multiply
    8,045.50x = 11,102.82 × 5,251
  4. Step 4: Simplify right side
    8,045.50x = 58,300,907.82
  5. Step 5: Solve for x
    x = 58,300,907.82/8,045.50
  6. Step 6: Final answer
    x = 7,246.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.