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Finding the Fourth Proportional to 7,971.66, 11,952.68 and 3,041.66

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Solution

The fourth proportional to 7,971.66, 11,952.68 and 3,041.66 is: 4,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.66 : 11,952.68 = 3,041.66 : x
  2. Step 2: Convert to fraction form
    7,971.66/11,952.68 = 3,041.66/x
  3. Step 3: Cross multiply
    7,971.66x = 11,952.68 × 3,041.66
  4. Step 4: Simplify right side
    7,971.66x = 36,355,988.65
  5. Step 5: Solve for x
    x = 36,355,988.65/7,971.66
  6. Step 6: Final answer
    x = 4,560.65

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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.