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Finding the Fourth Proportional to 26,253, 39,379.50 and 7,785

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Solution

The fourth proportional to 26,253, 39,379.50 and 7,785 is: 11,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,253 : 39,379.50 = 7,785 : x
  2. Step 2: Convert to fraction form
    26,253/39,379.50 = 7,785/x
  3. Step 3: Cross multiply
    26,253x = 39,379.50 × 7,785
  4. Step 4: Simplify right side
    26,253x = 306,569,407.50
  5. Step 5: Solve for x
    x = 306,569,407.50/26,253
  6. Step 6: Final answer
    x = 11,677.50

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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.