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Finding the Fourth Proportional to 26,052, 39,084.48 and 7,584

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Solution

The fourth proportional to 26,052, 39,084.48 and 7,584 is: 11,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,052 : 39,084.48 = 7,584 : x
  2. Step 2: Convert to fraction form
    26,052/39,084.48 = 7,584/x
  3. Step 3: Cross multiply
    26,052x = 39,084.48 × 7,584
  4. Step 4: Simplify right side
    26,052x = 296,416,696.32
  5. Step 5: Solve for x
    x = 296,416,696.32/26,052
  6. Step 6: Final answer
    x = 11,377.89

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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.