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Finding the Fourth Proportional to 26,065, 39,104.70 and 7,597

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Solution

The fourth proportional to 26,065, 39,104.70 and 7,597 is: 11,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,065 : 39,104.70 = 7,597 : x
  2. Step 2: Convert to fraction form
    26,065/39,104.70 = 7,597/x
  3. Step 3: Cross multiply
    26,065x = 39,104.70 × 7,597
  4. Step 4: Simplify right side
    26,065x = 297,078,405.90
  5. Step 5: Solve for x
    x = 297,078,405.90/26,065
  6. Step 6: Final answer
    x = 11,397.60

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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.