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Finding the Fourth Proportional to 7,950.81, 10,972.48 and 4,594.06

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Solution

The fourth proportional to 7,950.81, 10,972.48 and 4,594.06 is: 6,340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950.81 : 10,972.48 = 4,594.06 : x
  2. Step 2: Convert to fraction form
    7,950.81/10,972.48 = 4,594.06/x
  3. Step 3: Cross multiply
    7,950.81x = 10,972.48 × 4,594.06
  4. Step 4: Simplify right side
    7,950.81x = 50,408,231.47
  5. Step 5: Solve for x
    x = 50,408,231.47/7,950.81
  6. Step 6: Final answer
    x = 6,340.02

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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.