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Finding the Fourth Proportional to 27,605.61, 41,407.88 and 7,884

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Solution

The fourth proportional to 27,605.61, 41,407.88 and 7,884 is: 11,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,605.61 : 41,407.88 = 7,884 : x
  2. Step 2: Convert to fraction form
    27,605.61/41,407.88 = 7,884/x
  3. Step 3: Cross multiply
    27,605.61x = 41,407.88 × 7,884
  4. Step 4: Simplify right side
    27,605.61x = 326,459,686.50
  5. Step 5: Solve for x
    x = 326,459,686.50/27,605.61
  6. Step 6: Final answer
    x = 11,825.85

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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.