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Finding the Fourth Proportional to 11,559.97, 15,952.66 and 6,254.67

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Solution

The fourth proportional to 11,559.97, 15,952.66 and 6,254.67 is: 8,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.97 : 15,952.66 = 6,254.67 : x
  2. Step 2: Convert to fraction form
    11,559.97/15,952.66 = 6,254.67/x
  3. Step 3: Cross multiply
    11,559.97x = 15,952.66 × 6,254.67
  4. Step 4: Simplify right side
    11,559.97x = 99,778,623.92
  5. Step 5: Solve for x
    x = 99,778,623.92/11,559.97
  6. Step 6: Final answer
    x = 8,631.39

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Why These Related Problems?

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